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The Reciprocal Kirchberg algebras

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OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications

I would like to talk about the bundles of the Kirchberg algebras. The key objects to understand such bundles are the homotopy groups of the automorphism group of the fiber Kirchberg algebra which are computed by M. Dadarlat’s formula via KK-theory. In this talk, I would like to explain his formula in terms of the duality of KK-theory, and show that there is a categorical procedure, called the reciprocality, to understand the pair of Kirchberg algebras which are completely different but share the same structure of their bundles.

This talk is part of the Isaac Newton Institute Seminar Series series.

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