Stable actions of central extensions and relative property (T)

• 木田, 良才

抄録

Let us say that a discrete countable group is stable if it has an ergodic, free, probability-measure-preserving and stable action. Let G be a discrete countable group with a central subgroup C. We present a sufficient condition and a necessary condition for G to be stable. We show that if the pair (G, C) does not have property (T), then G is stable. We also show that if the pair (G, C) has property (T) and G is stable, then the quotient group G/C is stable.

収録刊行物

• Israel Journal of Mathematics

  Israel Journal of Mathematics 207 (2), 925-959, 2015-02-17

  The Hebrew University Magnes Press

キーワード

• General Mathematics

詳細情報

• CRID: 1050282810793038080
• NII論文ID: 120005670845
• NII書誌ID: AA00684648
• ISSN: 00212172
• ISSN: 15658511
• DOI: 10.1007/s11856-015-1167-7
• HANDLE: 2433/201543
• Web Site: http://link.springer.com/content/pdf/10.1007/s11856-015-1167-7.pdf
• Web Site: http://link.springer.com/article/10.1007/s11856-015-1167-7/fulltext.html
• Web Site: http://link.springer.com/content/pdf/10.1007/s11856-015-1167-7
• 本文言語コード: en
• 資料種別: journal article
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