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 –algebra and thereby its topological –theory spectrum.
Citation
Markus Land. Thomas Nikolaus. Karol Szumiło. "Localization of cofibration categories and groupoid $C^*$–algebras." Algebr. Geom. Topol. 17 (5) 3007 - 3020, 2017. https://doi.org/10.2140/agt.2017.17.3007
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