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

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

2003-06-12

arxiv.org/abs/math/0306204v1

Mathematics

Operator Algebras

10 pages, amstex. J. Functional Analysis, to be published

Scientific paper

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.

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