Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/24436
- Title
- Subquotients of Hecke C*-algebras
- Author/Creator
-
Brownlowe, Nathan;
Larsen, N. S.;
Putnam, I. F.;
Raeburn, Iain
- Description
- We realize the Hecke C*-algebra C-Q of Bost and Connes as a direct limit of Hecke C*-algebras which are semigroup crossed products by N-F, for F a finite set of primes. For each approximating Hecke C*-algebra we describe a composition series of ideals. In all cases there is a large type I ideal and a commutative quotient, and the intermediate subquotients are direct sums of simple C*-algebras. We can describe the simple summands as ordinary crossed products by actions of Z(S) for S a finite set of primes. When vertical bar S vertical bar = 1, these actions are odometers and the crossed products are Bunce-Deddens algebras; when vertical bar S vertical bar > 1, the actions are an apparently new class of higher-rank odometer actions, and the crossed products are an apparently new class of classifiable AT-algebras.
- Relation
- Ergodic Theory and Dynamical Systems Vol. 25, no. 5, p. 1503-1520
- Date
- 2005
- Publisher
- Cambridge University Press
- Keyword(s)
-
crossed-products;
real rank;
classification;
connes;
bost;
endomorphisms;
zero
- Resource Type
- journal article
- Identifier
- http://hdl.handle.net/1959.13/24436
- Identifier
- ISSN:0143-3857
- Language
- eng
- Reviewed
- Full Text
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