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The Two-Prime Analogue Of The Hecke C*-Algebra Of Bost And Connes, Nadia Larsen, Ian Putnam, Iain Raeburn

Faculty of Engineering and Information Sciences - Papers: Part A

Let p and q be distinct odd primes. We analyse a semigroup crossed product C * (G p,q) α 2 similar to the semigroup crossed product which models the Hecke C * -algebra of Bost and Connes. We describe a composition series of ideals in C * (G p,q) α 2 , and show that the structure of one of the subquotients reflects interesting number-theoretic information about the multiplicative orders of q in the rings Z/p^l Z.