Algebraic K-theory and locally convex algebras

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dc.creatorCuntz, Joachim
dc.creatorThom, Andreas
dc.date2005-03-21
dc.date.accessioned2026-07-07T05:18:10Z
dc.date.available2026-07-07T05:18:10Z
dc.descriptionWe consider functors from the category of locally convex algebras to abelian groups and prove invariance under smooth homotopies for weakly J-stable algebras, where J is a harmonic operator ideal. This applies in particular to negative algebraic K-theory. We develop the technology of Kasparov modules in an algebraic setting in order to obtain the results. The article also includes a computation of the first algebraic K-theory of harmonic operator ideals.
dc.identifierhttps://arxiv.org/abs/math/0503417
dc.identifierhttp://arxiv.org/abs/math/0503417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74565
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject18G, 19K, 46H, 46L80, 46M, 58B34
dc.titleAlgebraic K-theory and locally convex algebras
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