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.
| Main Authors: | , |
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| פורמט: | Journal article |
| שפה: | English |
| יצא לאור: |
2003
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| _version_ | 1826274676483031040 |
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| author | Bridson, M Harpe, P |
| author_facet | Bridson, M Harpe, P |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T22:47:05Z |
| format | Journal article |
| id | oxford-uuid:5d89f5a3-a409-4280-93e1-ee4dc9e764e0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:47:05Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:5d89f5a3-a409-4280-93e1-ee4dc9e764e02022-03-26T17:35:03ZMapping class groups and outer automorphism groups of free groups are C*-simpleJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5d89f5a3-a409-4280-93e1-ee4dc9e764e0EnglishSymplectic Elements at Oxford2003Bridson, MHarpe, PWe 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. |
| spellingShingle | Bridson, M Harpe, P Mapping class groups and outer automorphism groups of free groups are C*-simple |
| title | Mapping class groups and outer automorphism groups of free groups are
C*-simple |
| title_full | Mapping class groups and outer automorphism groups of free groups are
C*-simple |
| title_fullStr | Mapping class groups and outer automorphism groups of free groups are
C*-simple |
| title_full_unstemmed | Mapping class groups and outer automorphism groups of free groups are
C*-simple |
| title_short | Mapping class groups and outer automorphism groups of free groups are
C*-simple |
| title_sort | mapping class groups and outer automorphism groups of free groups are c simple |
| work_keys_str_mv | AT bridsonm mappingclassgroupsandouterautomorphismgroupsoffreegroupsarecsimple AT harpep mappingclassgroupsandouterautomorphismgroupsoffreegroupsarecsimple |