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On operator amenability of Fourier-Stieltjes algebras

发布日期:2018-06-27点击数:


报告人: Nico Spronk(加拿大滑铁卢大学)

 

  : 201775  14:00-15:00

 

  : 理科楼 LD314

 

  : Let G be a locally compact group. The Fourier and Fourier- Stieltjes algebras, A(G) and B(G) are dual objects to the group and measure algebras L1(G) and M(G), respectively, in a manner which generalizes Pontryagin duality. It is now classical that L1(G) is (operator) amenable exactly when G is amenable, exactly when A(G) is operator amenable. M(G) is (operator) amenable exactly when G is discrete and abelian; hence B(G) ought to be operator amenable exactly when G is compact. This is not true, generally; but is true for connected groups.

 

报告人简介: Nico Spronk,加拿大滑铁卢大学教授。个人详细信息请见个人网页://www.math.uwaterloo.ca/~nspronk/

 

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