Geodesic
Localization of cofibration categories and groupoid C∗–algebras
Land, Markus1 ; Nikolaus, Thomas2 ; Szumiło, Karol3
1 Mathematical Institute, University of Regensburg, Regensburg, Germany
2 Max Planck Institut für Mathematik, Bonn, Germany
3 Department of Mathematics, University of Western Ontario, London, ON, Canada
Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 3007-3020

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2017.17.3007
Classification : 55U35, 46L80
Keywords: abstract and axiomatic homotopy theory, $K$–theory and operator algebras

Land, Markus 1 ; Nikolaus, Thomas 2 ; Szumiło, Karol 3

1 Mathematical Institute, University of Regensburg, Regensburg, Germany
2 Max Planck Institut für Mathematik, Bonn, Germany
3 Department of Mathematics, University of Western Ontario, London, ON, Canada 
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Land, Markus; Nikolaus, Thomas; Szumiło, Karol. Localization of cofibration categories and groupoid C∗–algebras. Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 3007-3020. doi: 10.2140/agt.2017.17.3007

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