Non-commutative Poincaré Duality of the irrational rotation algebra

Anna Duwenig (University of Wollongong)

01-Jul-2020, 19:00-20:00 (4 years ago)

Abstract: The irrational rotation algebra is known to be self-dual in a KK-theoretic sense. The required K-homology fundamental class was constructed by Connes out of the Dolbeault operator on the 2-torus, but there has not been an explicit description of the dual element. In this talk, I will geometrically construct that K-theory class by using a pair of transverse Kronecker flows on the 2-torus. This is based on joint work with my PhD advisor, Heath Emerson.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic


Noncommutative Geometry in NYC

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