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arXiv · 1609.03805

Localization of Cofibration Categories and Groupoid $C^*$-algebras

Markus Land·Thomas Nikolaus·Karol Szumiło
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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.

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BibTeXRIS

Markus Land, Thomas Nikolaus, Karol Szumiło. 2016-09-13. Localization of Cofibration Categories and Groupoid $C^*$-algebras. https://doi.org/10.2140/agt.2017.17.3007

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