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agt.2015.15.1067.pdf | 582.97 kB | Adobe PDF | 見る/開く |
タイトル: | Group approximation in Cayley topology and coarse geometry, III: Geometric property (T) |
著者: | Mimura, Masato Ozawa, Narutaka Sako, Hiroki Suzuki, Yuhei |
著者名の別形: | 小澤, 登高 |
キーワード: | coarse geometry geometric property (T) space of marked groups coarse cohomology |
発行日: | 22-Apr-2015 |
出版者: | Mathematical Society Publishing |
誌名: | Algebraic & Geometric Topology |
巻: | 15 |
号: | 2 |
開始ページ: | 1067 |
終了ページ: | 1091 |
抄録: | 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. |
著作権等: | First published in Algebraic & Geometric Topology in vol.15, published by Mathematical Sciences Publishers |
URI: | http://hdl.handle.net/2433/198462 |
DOI(出版社版): | 10.2140/agt.2015.15.1067 |
出現コレクション: | 学術雑誌掲載論文等 |
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