論文

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2015年4月

Group approximation in cayley topology and coarse geometry, III: Geometric property (T)

Algebraic and Geometric Topology
  • Masato Mimura
  • ,
  • Narutaka Ozawa
  • ,
  • Hiroki Sako
  • ,
  • Yuhei Suzuki

15
2
開始ページ
1061
終了ページ
1091
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.2140/agt.2015.15.1067

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.

リンク情報
DOI
https://doi.org/10.2140/agt.2015.15.1067
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ID情報
  • DOI : 10.2140/agt.2015.15.1067
  • ISSN : 1472-2747
  • eISSN : 1472-2739
  • SCOPUS ID : 84928981303

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