Mapping class groups and outer automorphism groups of free groups are C*-simple

摘要

We prove that the reduced C*-algebras of centerless mapping class groups and outer automorphism groups of free groups are simple, as are the irreducible pure subgroups of mapping class groups and the analogous subgroups of outer automorphism groups of free groups. (C) 2003 Elsevier Inc. All rights reserved.