期刊文献+

局部紧群和Property A(英文)

Locally Compact Groups and Property A
原文传递
导出
摘要 本文证明了对于具有左不变Haar测度的σ-紧局部紧群,如果存在一个在某个紧空间上的amenable群作用,则这个群具有Property A. In this note, we prove that for σ-compact locally compact group with left invari- ant Haar measure, the existence of amenable action on some compact space implies Property A.
作者 山林 王峥
出处 《数学进展》 CSCD 北大核心 2013年第6期837-841,共5页 Advances in Mathematics(China)
关键词 局部紧群 amenable群作用 PROPERTY A locally compact group amenable action Property A
  • 相关文献

参考文献7

  • 1Anantharaman-Delaroche, C., Amenability and exactness for dynamical systems and their C*-algebras, Tran- s. Amer. Math. Soc., 2002, 354(10): 4153-4178.
  • 2Birkhoff, G., A note on topological groups, Compositio Math., 1936, 3: 427-430.
  • 3Higson, N. and Roe, J., Amenable group actions and the Novikov conjecture, J. Reine Agnew. Math., 2000, 519: 143-153.
  • 4Montgomery, D. and Zippin, L., Topological Transformation Groups, Interscience Tracts in Pure and Applied Mathematics, No. 1, New York: Interscience Publishers, 1955.
  • 5Roe, J., Lectures on Coarse Geometry, University Lecture Series, Vol. 31, Providence, RI: AMS, 2003.
  • 6Roe, J., Warped cones and property A, Geometry and Topology, 2005, 9: 163-178.
  • 7Yu G.L., The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space, Inventiones Math., 2000, 139: 201-240.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部