A homological characterization of topological amenability
Generalizing Block and Weinberger's characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a homological characterization of topological amenability for actions. By considering the case of the natural action...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
2012-08-08.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | Generalizing Block and Weinberger's characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a homological characterization of topological amenability for actions. By considering the case of the natural action of G on its Stone-Cech compactification we obtain a homological characterisation of exactness of the group. |
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