A universal coarse K-theory

Bunke, Ulrich and Cisinski, Denis-Charles (2020) A universal coarse K-theory. NEW YORK JOURNAL OF MATHEMATICS, 26. pp. 1-27. ISSN 1076-9803,

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Abstract

In this paper, we construct an equivariant coarse homology theory with values in the category of non-commutative motives of Blumberg, Gepner and Tabuada, with coefficients in any small additive category. Equivariant coarse K-theory is obtained from the latter by passing to global sections. The present construction extends joint work of the first named author with Engel, Kasprowski and Winges by promoting the codomain of the equivariant coarse K-homology functor to non-commutative motives.

Item Type: Article
Uncontrolled Keywords: CONJECTURES; coarse homology theory; additive categories; universal localizing invariants
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Apr 2021 07:43
Last Modified: 08 Apr 2021 07:43
URI: https://pred.uni-regensburg.de/id/eprint/45531

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