PURE STATES ON FREE GROUP C*-ALGEBRAS

被引:2
作者
Akemann, Charles [1 ]
Wassermann, Simon [2 ]
Weaver, Nik [3 ]
机构
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
[3] Washington Univ, Dept Math, St Louis, MO 63130 USA
关键词
STAR-ALGEBRAS; 2; GENERATORS;
D O I
10.1017/S0017089509990383
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that all the pure states of the reduced C*-algebra of a free group Oil an uncountable set of generators are *-automorphism equivalent and extract some consequences of this Fact.
引用
收藏
页码:151 / 154
页数:4
相关论文
共 12 条
[11]  
POPA S, J OPERATOR THEOR, V9, P253
[12]   SIMPLICITY OF C-STAR-ALGEBRA ASSOCIATED WITH FREE GROUP ON 2 GENERATORS [J].
POWERS, RT .
DUKE MATHEMATICAL JOURNAL, 1975, 42 (01) :151-156