The two-prime analogue of the Hecke C*-algebra of Bost and Connes

Authors

Nadia Larsen, University of Copenhagen
Ian Putnam, University of Victoria
Iain Raeburn, University of WollongongFollow

RIS ID

18840

Publication Details

Larsen, N. S., Putnam, I. F. & Raeburn, I. F. (2002). The two-prime analogue of the Hecke C*-algebra of Bost and Connes. Indiana University Mathematics Journal, 51 (1), 171-186.

Abstract

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.