Circle and sphere bundles in noncommutative geometry

25.01.2019, 11:00  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

Francesca Arici (MPI Leipzig)

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 classical and quantum sphere bundles in terms of Cuntz-Pimsner algebras of sub-product systems.