Paper Citation Record · LEDGER

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions

As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2601.09615.

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pith.paper-citation-record.v1
2601.09615 v2

Coverage vector

measured 47 of 47 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T10:40:30.858521Z

measured 47 of 47 standing notices

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Reference resolution

47 of 47 outbound references displayed

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Outbound references

Observation 23d4c33e-0383-4dbd-ab12-40887a2417ec · outbound

This paper cites BivariantK-theory with R/Z-coefficients and rho classes of unitary representations.J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions BivariantK-theory with R/Z-coefficients and rho classes of unitary representations.J

Reference 1

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Observation a4a66dfb-11c4-4d0f-a7e8-20b885d09eb7 · outbound

This paper cites The Baum–Connes con- jecture localised at the unit element of a discrete group.Compos.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Baum–Connes con- jecture localised at the unit element of a discrete group.Compos

Reference 2

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Observation a668a9f8-3879-44f5-affb-11872c0493f3 · outbound

This paper cites A categorical perspective on the Atiyah– Segal completion theorem in KK-theory.J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions A categorical perspective on the Atiyah– Segal completion theorem in KK-theory.J

Reference 3

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Observation 590989e2-e454-4c68-9389-3c4d22ea74b0 · outbound

This paper cites Admitting a coarse embedding is not preserved under group extensions.Int.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Admitting a coarse embedding is not preserved under group extensions.Int

Reference 4

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Observation ef772715-8d81-44f5-b80c-10b83ba2dc3a · outbound

This paper cites Classifying space for proper actions andK-theory of groupC ∗-algebras.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Classifying space for proper actions andK-theory of groupC ∗-algebras

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T10:40:30.743094Z

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Observation d82a09a8-4aab-44ce-ac4d-04c4748cdfc8 · outbound

This paper cites Boundary amenabil- ity of Out(F N ).Ann.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Boundary amenabil- ity of Out(F N ).Ann

Reference 6

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Observation c1e721b6-7a9e-454a-851e-3a3f6a15b2b2 · outbound

This paper cites Permanence properties of the Baum– Connes conjecture.Doc.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Permanence properties of the Baum– Connes conjecture.Doc

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T10:40:30.749838Z

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Observation 4572a758-0044-4845-9733-226e59d21a72 · outbound

This paper cites Going-down functors, the K¨ unneth formula, and the Baum–Connes conjecture.Geom.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Going-down functors, the K¨ unneth formula, and the Baum–Connes conjecture.Geom

Reference 8

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Observation 28d2d6e2-1708-4b1a-8358-b95e34ea5ef1 · outbound

This paper cites Constructions preserving Hilbert space uniform embeddability of discrete groups.Trans.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Constructions preserving Hilbert space uniform embeddability of discrete groups.Trans

Reference 9

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Observation c97344b8-1759-45b9-a54b-6fa4c38fef30 · outbound

This paper cites The Novikov conjecture and extensions of coarsely embeddable groups.J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Novikov conjecture and extensions of coarsely embeddable groups.J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T10:40:30.757570Z

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Observation 64da2b35-c84a-4ee9-a629-a3f87c1371c0 · outbound

This paper cites The Baum– Connes conjecture: an extended survey.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Baum– Connes conjecture: an extended survey

Reference 11

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Observation 8e6abd0b-0760-4e75-b209-65f9058134b7 · outbound

This paper cites The Novikov conjecture, the group of diffeomorphisms and continuous fields of Hilbert-Hadamard spaces.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Novikov conjecture, the group of diffeomorphisms and continuous fields of Hilbert-Hadamard spaces

Reference 12

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Observation 5ffb6549-6687-4e4f-9a38-03c71ac2bbfe · outbound

This paper cites The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert–Hadamard spaces.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert–Hadamard spaces

Reference 13

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Observation 98bbd850-e2aa-4132-b10e-5a1535615f7a · outbound

This paper cites The local structure of twisted covariance algebras.Acta Math., 140(3-4):191–250, 1978.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The local structure of twisted covariance algebras.Acta Math., 140(3-4):191–250, 1978

Reference 14

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Observation 5784fffd-d08f-4f2b-8191-a8c06dbbbd8a · outbound

This paper cites The Novikov conjecture for linear groups.Publ.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Novikov conjecture for linear groups.Publ

Reference 15

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Observation 341e6dd2-bb73-45a5-92bd-805beb0f9531 · outbound

This paper cites Dynamical complexity and controlled operatorK-theory.Ast´ erisque, (451):89, 2024.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Dynamical complexity and controlled operatorK-theory.Ast´ erisque, (451):89, 2024

Reference 16

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Observation fd960e88-a76c-42df-97e6-b0ebd2629206 · outbound

This paper cites Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T10:40:30.775943Z

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Observation 5b95f570-0013-4f1c-ba80-638d04349588 · outbound

This paper cites Geometry of the mapping class groups.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Geometry of the mapping class groups

Reference 18

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Observation 5fae08db-2391-4f15-801c-e5141e8aea3c · outbound

This paper cites Math., 144(1):23–74, 2001.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Math., 144(1):23–74, 2001

Reference 19

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Observation 7658b504-2d16-40d3-abd3-5b740a30e7a1 · outbound

This paper cites Counterexamples to the Baum–Connes conjecture.Geom.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Counterexamples to the Baum–Connes conjecture.Geom

Reference 20

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Observation 12dda50d-47c9-4289-803a-95cb78293ff5 · outbound

This paper cites EquivariantKK-theory and the Novikov conjecture.In- vent.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions EquivariantKK-theory and the Novikov conjecture.In- vent

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T10:40:30.787248Z

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Observation ddd76efa-fb1f-48e5-825a-7b54ab2ae7ab · outbound

This paper cites InNovikov conjectures, index theorems and rigidity, Vol.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions InNovikov conjectures, index theorems and rigidity, Vol

Reference 22

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Observation e58cbe66-6b3c-4d7b-b38f-7f6978911341 · outbound

This paper cites Groups acting properly on “bolic” spaces and the Novikov conjecture.Ann.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Groups acting properly on “bolic” spaces and the Novikov conjecture.Ann

Reference 23

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Observation b70e7593-af3e-49c3-a3ee-61b6c2d69c1e · outbound

This paper cites The Novikov conjecture and geometry of Banach spaces.Geom.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Novikov conjecture and geometry of Banach spaces.Geom

Reference 24

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Observation 3e724971-f23b-41ef-915e-922378ad4870 · outbound

This paper cites The mapping class group from the viewpoint of measure equivalence theory.Mem.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The mapping class group from the viewpoint of measure equivalence theory.Mem

Reference 25

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Observation 62288916-90d5-4857-a384-f4400df6b5a3 · outbound

This paper cites Math., 149(1):1–95, 2002.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Math., 149(1):1–95, 2002

Reference 26

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Observation f12cd11c-71b9-4cf1-a431-8dab09e39452 · outbound

This paper cites La conjecture de Baum–Connes ` a coefficients pour les groupes hyperboliques.J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions La conjecture de Baum–Connes ` a coefficients pour les groupes hyperboliques.J

Reference 27

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Observation 141628be-aec6-49a3-9d4f-8497438007d6 · outbound

This paper cites The Baum–Connes conjecture for extensions.M¨ unster J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Baum–Connes conjecture for extensions.M¨ unster J

Reference 28

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Observation 3dfc0b92-8551-4616-934e-394ac6ea162c · outbound

This paper cites The Baum–Connes conjecture via localisation of categories.Topology, 45(2):209–259, 2006.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Baum–Connes conjecture via localisation of categories.Topology, 45(2):209–259, 2006

Reference 29

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Observation e1d1db20-b258-4518-9387-bbe7710967a6 · outbound

This paper cites The Baum–Connes conjecture for hyperbolic groups.Invent.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Baum–Connes conjecture for hyperbolic groups.Invent

Reference 30

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Observation beeb50fd-2147-41d4-937f-dae4b561bdb1 · outbound

This paper cites Nowak and Guoliang Yu.Large scale geometry.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Nowak and Guoliang Yu.Large scale geometry

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T10:40:30.813887Z

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Observation af621522-f33c-4502-a6a3-69b685adc610 · outbound

This paper cites Baum–Connes conjecture and extensions.J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Baum–Connes conjecture and extensions.J

Reference 32

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Observation fe5a6d79-de93-49e0-a36e-082c5bb9b949 · outbound

This paper cites On quantitative operatorK-theory.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions On quantitative operatorK-theory

Reference 33

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Observation 606b18e9-2b63-4935-a31f-6688484de160 · outbound

This paper cites QuantitativeK-theory and the K¨ unneth formula for operator algebras.J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions QuantitativeK-theory and the K¨ unneth formula for operator algebras.J

Reference 34

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Observation 35019e36-878a-4d83-b9f1-b0bb8788fb10 · outbound

This paper cites On the localization algebra of Guoliang Yu.Forum Math., 22(4):657–665, 2010.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions On the localization algebra of Guoliang Yu.Forum Math., 22(4):657–665, 2010

Reference 35

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Observation 9798e816-a410-469a-8bfc-7dc35c3ece4c · outbound

This paper cites An index theorem on open manifolds.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions An index theorem on open manifolds

Reference 36

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Observation 92f9a743-fc2f-49ab-bd2a-8ff264b9b6d3 · outbound

This paper cites Hautes ´Etudes Sci.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Hautes ´Etudes Sci

Reference 37

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Observation 597d48f1-0221-4efd-8a3a-73db6eaab9b8 · outbound

This paper cites Topological methods forC ∗-algebras.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Topological methods forC ∗-algebras

Reference 38

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Observation f43da50e-c467-4543-a46d-23b94353361c · outbound

This paper cites Uniform embeddings of hyperbolic groups in Hilbert spaces.Israel J.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Uniform embeddings of hyperbolic groups in Hilbert spaces.Israel J

Reference 39

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Observation 8551840a-088b-4cc9-8050-b744a9e56607 · outbound

This paper cites an unresolved cited work.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Unresolved cited work

Reference 40

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Observation 5a57a6a9-a70f-4275-b723-a48c2e749f88 · outbound

This paper cites Cambridge University Press, Cambridge, 2020.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Cambridge University Press, Cambridge, 2020

Reference 41

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Observation 727bc07e-bffa-4b8e-b4f0-ef033313214b · outbound

This paper cites Baum–Connes conjecture and coarse geometry.K-Theory, 9(3):223–231, 1995.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Baum–Connes conjecture and coarse geometry.K-Theory, 9(3):223–231, 1995

Reference 42

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Observation 9bb37f4c-2a7b-45dd-9569-c1b96f1fd0f2 · outbound

This paper cites Localization algebras and the coarse Baum–Connes conjecture.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions Localization algebras and the coarse Baum–Connes conjecture

Reference 43

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Observation 9228b378-c77d-4217-b934-4ded7f29a461 · outbound

This paper cites The Novikov conjecture for groups with finite asymptotic di- mension.Ann.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The Novikov conjecture for groups with finite asymptotic di- mension.Ann

Reference 44

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Observation e70840d9-4942-46af-859c-1a768889b194 · outbound

This paper cites The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space.Invent.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space.Invent

Reference 45

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Observation 7ed4b6c5-44e5-42b6-b493-cb213ab44c52 · outbound

This paper cites On the quantitative coarse Baum-Connes conjecture with coefficients.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions On the quantitative coarse Baum-Connes conjecture with coefficients

Reference 46

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Observation 93c8bf21-a2a6-42c4-a2a9-1f82d3b5a519 · outbound

This paper cites The coarse Baum–Connes conjecture with filtered coefficients and product metric spaces.Adv.

The Baum-Connes and the Mishchenko-Kasparov assembly maps for group extensions The coarse Baum–Connes conjecture with filtered coefficients and product metric spaces.Adv

Reference 47

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