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arXiv · 0705.1971

Realizing Kasparov's KK-theory groups as the homotopy classes of maps of a Quillen model category

Michael Joachim·Mark W. Johnson
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Abstract

In this article we build a Quillen model category structure on the category of sequentially complete l.m.c.-C*-algebras such that the corresponding homotopy classes of maps Ho(A,B) for separable C*-algebras A and B coincide with the Kasparov groups KK(A,B). This answers an open question posed by Mark Hovey about the possibility of describing KK-theory for C*-algebras using the language of Quillen model categories.

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Michael Joachim, Mark W. Johnson. 2007-05-14. Realizing Kasparov's KK-theory groups as the homotopy classes of maps of a Quillen model category. https://arxiv.org/abs/0705.1971

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