Non-commutative Poincaré Duality of the irrational rotation algebra

Anna Duwenig (University of Victoria)

Wednesday 4th December, 2019 13:00-14:00 Maths 110


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 so far, there has not been an explicit description of the dual element. In this talk, I will geometrically construct a finitely generated projective module representing said K-theory class, by using a pair of transverse Kronecker flows on the 2-torus.

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