The ideal structure of the Hecke C*-algebra of Bost and Connes

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dc.creatorLaca, Marcelo
dc.creatorRaeburn, Iain
dc.date1999-11-18
dc.date.accessioned2026-07-07T05:31:40Z
dc.date.available2026-07-07T05:31:40Z
dc.descriptionWe compute explicitly the primitive ideal space of the Bost-Connes Hecke C*-algebra by embedding it as a full corner in a transformation group C*-algebra and applying a general theorem of Williams. This requires the computation of the quasi-orbit space for the action of the multiplicative positive rationals on the space of finite adeles. We then carry out a similar computation for the action of the nonzero rationals on the space of full adeles.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/9911134
dc.identifierhttp://arxiv.org/abs/math/9911134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79428
dc.subjectOperator Algebras
dc.subject46L55
dc.titleThe ideal structure of the Hecke C*-algebra of Bost and Connes
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