Noncommutative Geometry Seminar

Date: September 9, 2020

Time: 1:00PM - 2:00PM

Location: Zoom 942810031

Speaker: Anna Duwenig , University of Wollongong

Title: Noncommutative Poincaré Duality of the Irrational Rotation Algebra

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 Heath Emerson (University of Victoria).

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