Kazhdan and Haagerup properties from the median viewpoint
We prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and on spaces with measured walls. This allows us to explore the relationship between the classical proper...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2007
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| _version_ | 1826266684043821056 |
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| author | Chatterji, I Drutu, C Haglund, F |
| author_facet | Chatterji, I Drutu, C Haglund, F |
| author_sort | Chatterji, I |
| collection | OXFORD |
| description | We prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and on spaces with measured walls. This allows us to explore the relationship between the classical properties (T) and Haagerup and their versions using affine isometric actions on $L^p$-spaces. It also allows us to answer an open problem on a dynamical characterization of property (T), generalizing results of Robertson-Steger. |
| first_indexed | 2024-03-06T20:42:41Z |
| format | Journal article |
| id | oxford-uuid:34c85b7e-f467-485c-a1c1-ad542c738b3a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:42:41Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:34c85b7e-f467-485c-a1c1-ad542c738b3a2022-03-26T13:28:14ZKazhdan and Haagerup properties from the median viewpointJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:34c85b7e-f467-485c-a1c1-ad542c738b3aEnglishSymplectic Elements at Oxford2007Chatterji, IDrutu, CHaglund, FWe prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and on spaces with measured walls. This allows us to explore the relationship between the classical properties (T) and Haagerup and their versions using affine isometric actions on $L^p$-spaces. It also allows us to answer an open problem on a dynamical characterization of property (T), generalizing results of Robertson-Steger. |
| spellingShingle | Chatterji, I Drutu, C Haglund, F Kazhdan and Haagerup properties from the median viewpoint |
| title | Kazhdan and Haagerup properties from the median viewpoint |
| title_full | Kazhdan and Haagerup properties from the median viewpoint |
| title_fullStr | Kazhdan and Haagerup properties from the median viewpoint |
| title_full_unstemmed | Kazhdan and Haagerup properties from the median viewpoint |
| title_short | Kazhdan and Haagerup properties from the median viewpoint |
| title_sort | kazhdan and haagerup properties from the median viewpoint |
| work_keys_str_mv | AT chatterjii kazhdanandhaageruppropertiesfromthemedianviewpoint AT drutuc kazhdanandhaageruppropertiesfromthemedianviewpoint AT haglundf kazhdanandhaageruppropertiesfromthemedianviewpoint |