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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67784We 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.10 pages, amstex. J. Functional Analysis, to be publishedOperator Algebras20F28, 20F65, 46L55, 57N05Mapping class groups and outer automorphism groups of free groups are C*-simpletext