- Title
- Subquotients of Hecke C*-algebras
- Creator
- Brownlowe, Nathan; Larsen, N. S.; Putnam, I. F.; Raeburn, Iain
- Relation
- Ergodic Theory and Dynamical Systems Vol. 25, no. 5, p. 1503-1520
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2005
- 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.
- Subject
- crossed-products; real rank; classification; connes; bost; endomorphisms; zero
- Identifier
- uon:80
- Identifier
- http://hdl.handle.net/1959.13/24436
- Identifier
- ISSN:0143-3857
- Language
- eng
- Full Text
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