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Introduction to continuous fields of C*-algebras and their topological invariants (Part 3)

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OAS - Operator algebras: subfactors and their applications

Continuous fields play the role of bundles of C*-algebras (in the sense of topology). The bundle structure that underlines a continuous fields is typically not locally trivial.

We will start by introducing various classes of examples. Thereafter, we will discuss obstructions to local triviality and give an introduction to topological invariants such as parametrized K-theory. Finally, we will present a generalized Dixmier-Douady theory obtained in joint work with Ulrich Pennig.

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

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