The Regular C*-algebra of an Integral Domain

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dc.creatorCuntz, Joachim
dc.creatorLi, Xin
dc.date2008-07-09
dc.date.accessioned2026-07-07T09:49:21Z
dc.date.available2026-07-07T09:49:21Z
dc.descriptionTo each integral domain R with finite quotients we associate a purely infinite simple C*-algebra in a very natural way. Its stabilization can be identified with the crossed product of the algebra of continuous functions on the "finite adele space" corresponding to R by the action of the ax+b-group over the quotient field Q(R). We study the relationship to generalized Bost-Connes systems and deduce for them a description as universal C*-algebras with the help of our construction.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0807.1407
dc.identifierhttp://arxiv.org/abs/0807.1407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164556
dc.subjectOperator Algebras
dc.subject58B34, 46L05 (Primary) 11R04, 11R56 (Secondary)
dc.titleThe Regular C*-algebra of an Integral Domain
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