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Homotopy theory with C*-categories

Presented by: 
Ulrich Bunke Universität Regensburg
Date: 
Thursday 30th March 2017 -
13:30 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
 In this talk I propose a presentable infinity category of C*-categories. It is modeled by a simplicial combinatorial model category structure on the category of C*-categories. This allows to set up a theory of presheaves with values in C*-categories on the orbit category of a group together with various induction and coinduction functors. As an application we provide a simple construction of equivariant K-theory spectra (first constructed by Davis-Lück). We discuss further applications to equivariant coarse homology theories.

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    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons