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Subquotients Of Hecke C*-Algebras, Nathan Brownlowe, Nadia Larsen, Ian Putnam, Iain Raeburn

Faculty of Engineering and Information Sciences - Papers: Part A

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. …