A universal equivariant coarse K-homology

Algebro-Geometric and Homotopical Methods

07 March 15:00 - 16:00

Ulrich Bunke - Universität Regensburg

In analogy to A^1-homotopy theory I will introduce a universal equivariant coarse homology theory. As an example, I describe the construction of a universal equivariant coarse homology theory with values in the stable infinity category which was introduced by Blumberg-Gepner-Tabuada in order to capture the universal properties of the algebraic K-theory functor. From this universal theory one can derive the usual equivariant coarse K-homology, but also also other coarse homology theories like versions of THH and natural transformations between them. Finally I will explain the relation of the coarse constructions with equivariant homology theories in the sense of Davis-Lück, and how assembly are arrise from coarse constructions.
Eric M. Friedlander
University of Southern California
Lars Hesselholt
University of Copenhagen
Paul Arne Østvaer
University of Oslo


Paul Arne Østvaer


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