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dc.contributor.author | Mimura, Masato | en |
dc.contributor.author | Ozawa, Narutaka | en |
dc.contributor.author | Sako, Hiroki | en |
dc.contributor.author | Suzuki, Yuhei | en |
dc.contributor.alternative | 小澤, 登高 | ja |
dc.date.accessioned | 2015-06-19T01:10:29Z | - |
dc.date.available | 2015-06-19T01:10:29Z | - |
dc.date.issued | 2015-04-22 | - |
dc.identifier.issn | 1472-2747 | - |
dc.identifier.uri | http://hdl.handle.net/2433/198462 | - |
dc.description.abstract | In this series of papers, we study the correspondence between the following: (1) the large scale structure of the metric space ⊔[m]Cay(G(m)) consisting of Cayley graphs of finite groups with k generators; (2) the structure of groups that appear in the boundary of the set {G(m)} in the space of k–marked groups. In this third part of the series, we show the correspondence among the metric properties “geometric property (T)”, “cohomological property (T)” and the group property “Kazhdan’s property (T)”. Geometric property (T) of Willett–Yu is stronger than being expander graphs. Cohomological property (T) is stronger than geometric property (T) for general coarse spaces. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Mathematical Society Publishing | en |
dc.rights | First published in Algebraic & Geometric Topology in vol.15, published by Mathematical Sciences Publishers | en |
dc.subject | coarse geometry | en |
dc.subject | geometric property (T) | en |
dc.subject | space of marked groups | en |
dc.subject | coarse cohomology | en |
dc.title | Group approximation in Cayley topology and coarse geometry, III: Geometric property (T) | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.ncid | AA11963392 | - |
dc.identifier.jtitle | Algebraic & Geometric Topology | en |
dc.identifier.volume | 15 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 1067 | - |
dc.identifier.epage | 1091 | - |
dc.relation.doi | 10.2140/agt.2015.15.1067 | - |
dc.textversion | publisher | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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