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

Bridson, Martin Robert; De La Harpe, Pierre

doi:10.1016/S0022-1236(03)00216-7

Scientific article

English

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

ContributorsBridson, Martin Robert; De La Harpe, Pierre

Published inJournal of functional analysis, vol. 212, no. 1, p. 195-205

Publication date2004

Abstract

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.

Classification

arxiv : math.OA

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BRIDSON, Martin Robert, DE LA HARPE, Pierre. Mapping class groups and outer automorphism groups of free groups are C*-simple. In: Journal of functional analysis, 2004, vol. 212, n° 1, p. 195–205. doi: 10.1016/S0022-1236(03)00216-7

Article (Accepted version)

Identifiers

PID : unige:12264
DOI : 10.1016/S0022-1236(03)00216-7
arXiv : math/0306204v1

Journal ISSN0022-1236

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

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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