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Introduction to continuous fields of C*-algebras and their topological invariants (Part 1)

Presented by: 
Marius Dadarlat Purdue University, Purdue University
Date: 
Friday 2nd June 2017 - 16:00 to 17:00
Venue: 
INI Seminar Room 2
Abstract: 
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.




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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons