Chern character for the Schwartz algebra of p-adic GL(n)

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dc.creatorBrodzki, Jacek
dc.creatorPlymen, Roger
dc.date2000-02-16
dc.date.accessioned2026-07-07T04:33:54Z
dc.date.available2026-07-07T04:33:54Z
dc.descriptionWe construct a Chern character map from the K-theory of the reduced C^* algebra of the p-adic GL(n) with values in the periodic cyclic homology of the Schwartz algebra of this group. We prove that this map is an isomorphism after tensoring with C by comparing an explicit formula, stated in the algebraic case by Cuntz and Quillen, with the classical Chern character. This Chern character is a crucial ingredient in the proof of the Baum-Connes conjecture for the p-adic GL(n) due to Baum, Higson and Plymen.
dc.identifierhttps://arxiv.org/abs/math/0002131
dc.identifierhttp://arxiv.org/abs/math/0002131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58704
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject19K35; 46L80; 46L87; 46M20
dc.titleChern character for the Schwartz algebra of p-adic GL(n)
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