ON THE C-ASTERISK-ALGEBRA GENERATED BY THE LEFT REGULAR REPRESENTATION OF A LOCALLY COMPACT GROUP

被引：21
作者：
BEDOS, E
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 02期
关键词：
C-ASTERISK-ALGEBRA; REGULAR REPRESENTATION; AMENABILITY; NUCLEARITY;
D O I：
10.2307/2159903
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let lambda denote the left regular representation of a locally compact group G on L2(G) and C*(lambda(G)) the C*-algebra generated by lambda(G). We show that the amenability of G and the amenability of G considered as a discrete group both may be characterized in terms of C*(lambda(G)).
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页码：603 / 608
页数：6
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