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

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dc.creatorJoachim, Michael
dc.creatorJohnson, Mark W.
dc.date2007-05-14
dc.date.accessioned2026-07-07T08:01:27Z
dc.date.available2026-07-07T08:01:27Z
dc.descriptionIn 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.
dc.descriptionAppeared in Contemporary Math #399: An Alpine Anthology of Homotopy Theory, Dominique Arlettaz and Katherine Hess editors
dc.identifierhttps://arxiv.org/abs/0705.1971
dc.identifierhttp://arxiv.org/abs/0705.1971
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128915
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subject46L80; 55U35
dc.titleRealizing Kasparov's KK-theory groups as the homotopy classes of maps of a Quillen model category
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