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Paper Citation Record · LEDGER

Trace-norm rigidity for reduced products of unitary groups and matrix algebras

As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.19556.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.19556 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T12:31:49.086919Z

measured 24 of 24 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

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24 of 24 outbound references displayed

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Outbound references

Observation 1989f753-77ce-455f-9fda-1b7766261f68 · outbound

This paper cites Ulam stability for classes of nuclear C*-algebras.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Ulam stability for classes of nuclear C*-algebras

Reference 1

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source=pdf_text observed=2026-08-01T12:31:46.276521Z digest=sha256:d5a88a5c6b914f86144d55961fc3b59476ba77e6507a705b6bc8e9b8fb4cbdb1

Observation a6cb5640-90c0-41e5-8e13-3f8914d88e2d · outbound

This paper cites The hyperfinite II$_1$-factor is Ulam stable.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras The hyperfinite II$_1$-factor is Ulam stable

Reference 2

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source=pdf_text observed=2026-08-01T12:31:46.326981Z digest=sha256:09b43cc1ba5c0a17d369f4db2beedf7aab1b90ad4dbb9579f136d0f1a92e2cfb

Observation 4e1bd134-5f90-4a1e-b8af-fa6d029a906a · outbound

This paper cites Dubuc and Daniele Mundici,Extending Stone duality to multisets and locally finite MV-algebras, Journal of Pure and Applied Algebra189(2004), no.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Dubuc and Daniele Mundici,Extending Stone duality to multisets and locally finite MV-algebras, Journal of Pure and Applied Algebra189(2004), no

Reference 3

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source=pdf_text observed=2026-08-01T12:31:46.429669Z digest=sha256:2eece31d33f167047980e66927e9b7d6f13291324ecc9c8e66e0e08e127bbab3

Observation 5ea8d8b6-f2e4-4fc5-8b79-7e4ddd6ef996 · outbound

This paper cites 1, 98–118.↑2, 2.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 1, 98–118.↑2, 2

Reference 4

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source=pdf_text observed=2026-08-01T12:31:46.486996Z digest=sha256:8c6e4590c561b4ac6737ab942ca1af102028ea5927056c69d3a86ab1c1a47eee

Observation fac7501c-8d6e-4b87-b15d-a9dc7e887c61 · outbound

This paper cites Trivial Isomorphisms between Reduced Products.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Trivial Isomorphisms between Reduced Products

Reference 5

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source=pdf_text observed=2026-08-01T12:31:46.582843Z digest=sha256:4cf13256c364e6153d08f7ed907da0545deb2ddea3ee9460f1905f75a5b6bd02

Observation d6b9402b-1bc9-4e98-b3a9-93a4b0a92808 · outbound

This paper cites On automorphism groups of metric reduced products of symmetric groups.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras On automorphism groups of metric reduced products of symmetric groups

Reference 6

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source=pdf_text observed=2026-08-01T12:31:46.675941Z digest=sha256:3ef5d07e77ecbae6ce0bb098dc5970c461b870cc87230e473062f473a43694bc

Observation b7b1a83e-3869-461f-be27-41695d0536b0 · outbound

This paper cites Mathématique 363(2025), 415–424.↑1, 5.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Mathématique 363(2025), 415–424.↑1, 5

Reference 7

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source=pdf_text observed=2026-08-01T12:31:46.749364Z digest=sha256:31cd3a776bb1666ee8bcf7c34fe2fd9e3effb0d6c5b498e33ab1598a0bdc528a

Observation bd12c6b3-c2fa-45ab-922c-9692e447fe93 · outbound

This paper cites 15, North-Holland Pub- lishing Co., Amsterdam–New York–Oxford, 1977.↑2 RIGIDITY IN TRACE NORM 27.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 15, North-Holland Pub- lishing Co., Amsterdam–New York–Oxford, 1977.↑2 RIGIDITY IN TRACE NORM 27

Reference 8

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source=pdf_text observed=2026-08-01T12:31:46.820976Z digest=sha256:147211d34c55906bb213ce6b8393addca66801e2f0bf40d42df61b577b6c4200

Observation 027a2461-4589-4aa7-8db0-d163c62f2c42 · outbound

This paper cites Dowerk,Algebraic and topological properties of unitary groups ofII1 factors, 2015.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Dowerk,Algebraic and topological properties of unitary groups ofII1 factors, 2015

Reference 9

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source=pdf_text observed=2026-08-01T12:31:46.905940Z digest=sha256:ad178591e4323c93c9331568040e66c72fd49047eb30e926f117331d528d247b

Observation 30b50cd9-3de9-4d75-a1a7-f4ec06fed8a1 · outbound

This paper cites Dowerk and Andreas Thom,Bounded normal generation and invariant automatic continuity, Advances in Mathematics346(2019), 124–169.↑1, 4.9, 4.3.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Dowerk and Andreas Thom,Bounded normal generation and invariant automatic continuity, Advances in Mathematics346(2019), 124–169.↑1, 4.9, 4.3

Reference 10

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Observation 222a8df2-022e-4a8d-9ace-ddf0738bedad · outbound

This paper cites 3, 489–503.↑1.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 3, 489–503.↑1

Reference 11

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source=pdf_text observed=2026-08-01T12:31:47.023187Z digest=sha256:77ecb069f7755d929ce01381b02a7cd4bdf028bf369f9519084cb621eb27cef9

Observation a5966347-952e-40df-8a85-6b41bdc2ef0a · outbound

This paper cites 2, 619–661.↑1.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 2, 619–661.↑1

Reference 12

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Observation e34d9d1a-d00d-48e8-a245-04e50a6df251 · outbound

This paper cites an unresolved cited work.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-01T12:31:47.184476Z digest=sha256:cbc54b0b385caaa32c0f5afb7cb216b7c191a04c586f7b1c1b2e2fc5e5718f8c

Observation ee30505a-0f78-4fcf-b3ed-32ddca5e425e · outbound

This paper cites A first course, Graduate Texts in Mathe- matics, vol.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras A first course, Graduate Texts in Mathe- matics, vol

Reference 14

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Observation 59b9fe2d-667e-4f5c-8214-935b7ec51378 · outbound

This paper cites 12, 1784–1817.↑2.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 12, 1784–1817.↑2

Reference 15

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Observation 33855efe-d81c-4219-a822-22152564fc44 · outbound

This paper cites 4, 761–792.↑4.10.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 4, 761–792.↑4.10

Reference 16

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source=pdf_text observed=2026-08-01T12:31:47.630812Z digest=sha256:be0d309e75630ab67bdd2bb28733b18074726e7d3f9d5ae8096b3079d65574ca

Observation b25c3f44-1675-42a0-b628-35590c17437f · outbound

This paper cites 222, Springer, Cham, 2015.↑3.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 222, Springer, Cham, 2015.↑3

Reference 17

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source=pdf_text observed=2026-08-01T12:31:47.857898Z digest=sha256:485406a144010d14a71b08be9be6775ae05829754dd98b980d9f9329cf49c75d

Observation da07b7bf-7855-4b90-974e-ab9e6be613aa · outbound

This paper cites Knapp,Lie Groups Beyond an Introduction, Second, Progress in Mathematics, vol.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Knapp,Lie Groups Beyond an Introduction, Second, Progress in Mathematics, vol

Reference 18

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Observation 5174c0b4-e6bc-4798-92b4-5592511fb954 · outbound

This paper cites 1, 45–59.↑1.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 1, 45–59.↑1

Reference 19

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source=pdf_text observed=2026-08-01T12:31:48.144163Z digest=sha256:93c1c70a146192b437e46a8f364f12d107a52981d7d2219e5cfcc27dbbde729a

Observation 7aa584cc-5dd1-4fa4-b875-8a3cca7126a5 · outbound

This paper cites 171, Springer, New York, 2016.↑3, 3.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 171, Springer, New York, 2016.↑3, 3

Reference 20

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source=pdf_text observed=2026-08-01T12:31:48.372747Z digest=sha256:78ff9d04b71f06a13c4f42623d136db6d0b63e0deb8c9bbc5e9924cc5ba8e88c

Observation 5e5ce179-bb0a-4895-8f45-d2fe18bf24b1 · outbound

This paper cites 2, 293–308.↑2, 2.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 2, 293–308.↑2, 2

Reference 21

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source=pdf_text observed=2026-08-01T12:31:48.555422Z digest=sha256:359bc95022c76e8de42a799f9ad6cb212734455cff8d241f0002bb34c65fa9e0

Observation bd7794da-2af9-49cc-bec4-cb8eee897e66 · outbound

This paper cites 124, Springer-Verlag, Berlin, 2002.↑.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 124, Springer-Verlag, Berlin, 2002.↑

Reference 22

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source=pdf_text observed=2026-08-01T12:31:48.704307Z digest=sha256:14132a1d792345b6b9b2604113d6c8d231de73c17c56f74365b098d70c082a27

Observation 5cd83959-b59c-4c3d-883a-23122385412e · outbound

This paper cites arXiv:2511.03607.↑5.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras arXiv:2511.03607.↑5

Reference 23

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Observation ebab6917-8f17-486f-bbe6-4a37270ccc75 · outbound

This paper cites an unresolved cited work.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Unresolved cited work

Reference 24

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