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Localization of cofibration categories and groupoid C∗–algebras

Land, Markus ; Nikolaus, Thomas ; Szumiło, Karol


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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