REVIEW 1 cited by
Poincare Duality and Spin^c Structures for Noncommutative Manifolds
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We prove a noncompact Serre-Swan theorem characterising modules which are sections of vector bundles not necessarily trivial at infinity. We then identify the endomorphism algebras of the resulting modules. The endomorphism results continue to hold for the generalisation of these modules to noncommutative, nonunital algebras. Finally, we apply these results to not necessarily compact noncommutative spin manifolds, proving that Poincare Duality implies the Morita equivalence of the `algebra of functions' and the `Clifford algebra.'
Forward citations
Cited by 1 Pith paper
-
Free phases of Majorana fermions: Tenfold ways compared
Neutral free fermion SPT phases protected by a real Z2-graded C*-algebra A are classified by the real K-theory group K_2(A^op), unifying charged and neutral tenfold-way classifications via Morita equivalence.
Discussion (0). Sign in to comment.