Complexes and exactness of certain Artin groups
In his work on the Novikov conjecture, Yu introduced Property A as a readily verified criterion implying coarse embeddability. Studied subsequently as a property in its own right, Property A for a discrete group is known to be equivalent to C*-exactness of the reduced C*-algebra, and to the amenabil...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2011-05-23.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | In his work on the Novikov conjecture, Yu introduced Property A as a readily verified criterion implying coarse embeddability. Studied subsequently as a property in its own right, Property A for a discrete group is known to be equivalent to C*-exactness of the reduced C*-algebra, and to the amenability of the action of the group on its Stone-Cech compactification. In this paper we study exactness for groups acting on a finite dimensional CAT(0) cube complex. We apply our methods to show that Artin groups of type FC are exact. While many discrete groups are known to be exact the question of whether every Artin group is exact remains open. |
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