Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 17, Number 5 (2017), 3007-3020.
Localization of cofibration categories and groupoid $C^*$–algebras
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 –algebra and thereby its topological –theory spectrum.
Algebr. Geom. Topol., Volume 17, Number 5 (2017), 3007-3020.
Received: 28 October 2016
Revised: 2 May 2017
Accepted: 14 June 2017
First available in Project Euclid: 16 November 2017
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Land, Markus; Nikolaus, Thomas; Szumiło, Karol. Localization of cofibration categories and groupoid $C^*$–algebras. Algebr. Geom. Topol. 17 (2017), no. 5, 3007--3020. doi:10.2140/agt.2017.17.3007. https://projecteuclid.org/euclid.agt/1510841490