Localization of cofibration categories and groupoid C* -algebras

Land, Markus and Nikolaus, Thomas and Szumilo, Karol (2017) Localization of cofibration categories and groupoid C* -algebras. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 17 (5). pp. 3007-3020. ISSN 1472-2739,

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Abstract

We prove that relative functors out of a cofibration category are essentially the same as relative functors which are only defined on the subcategory of cofibrations. As an application we give a new construction of the functor that assigns to a groupoid its groupoid C*-algebra and thereby its topological K-theory spectrum.

Item Type: Article
Uncontrolled Keywords: HOMOTOPY-THEORY; MODEL;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:01
Last Modified: 21 Feb 2019 06:54
URI: https://pred.uni-regensburg.de/id/eprint/592

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