Subquotients of Hecke C^*-algebras

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The Bost-Connes Hecke C^*-algebra can be regarded as a direct limit of subalgebras involving finite sets of primes. Each of these finite-prime analogues of the Bost-Connes algebra is a crossed product by a semigroup N^F, where F is finite. We describe composition series of ideals for these semigroup crossed products in which the intermediate subquotients are finite direct sums of classifiable AT-algebras. We then use similar techniques to identify subquotients of the Bost-Connes algebra as classifiable AT-algebras.
18 pages

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Operator Algebras, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/68682

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309429
 http://arxiv.org/abs/math/0309429

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arXiv