Circle and sphere bundles in noncommutative geometry

Francesca Arici (Leiden University)

Thursday 14th November 16:00-17:00 Maths 311B

Abstract

In this talk I will recall how Pimsner algebras of self Morita equivalences can be thought of as total spaces of quantum circle bundles, and the associated six term exact sequence in K-theory can be interpreted as an operator algebraic version of the classical Gysin sequence for circle bundles. 
After reviewing some results in this direction, I will report on work in progress concerning the construction of higher dimensional quantum sphere bundles in terms of Cuntz–Pimsner algebras of sub-product systems.

Based on (past and ongoing) joint work with G. Landi and J. Kaad.

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