Simple C*-crossed products with a unique trace

被引：8
作者：
Bedos, E [1 ]
机构：
[1] UNIV OSLO,DEPT MATH,N-0316 OSLO,NORWAY
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1996年 / 16卷
关键词：
D O I：
10.1017/S0143385700008907
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (alpha, u) denote a cocycle-crossed action of a discrete group G on a unital C*-algebra A, and B = C-r*(A, G, alpha, u) the associated reduced (twisted) C*-crossed product. We discuss the following problem: when is B a simple C*-algebra with a unique trace? To this aim, we introduce the concept of tracially properly outerness of actions.
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页码：415 / 429
页数：15
相关论文
共 33 条
[1]  
[Anonymous], THEORY OPERATOR ALGE
[2]   TOPOLOGICALLY FREE ACTIONS AND IDEALS IN DISCRETE C-ASTERISK-DYNAMICAL SYSTEMS [J].
ARCHBOLD, RJ ;
SPIELBERG, JS .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1994, 37 :119-124
[3]   C-ASTERISK-ALGEBRAS AND NUMERICAL LINEAR ALGEBRA [J].
ARVESON, W .
JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122 (02) :333-360
[4]  
Arveson W., 1993, Acta Sci. Math. (Szeged), V57, P11
[5]   DISCRETE-GROUPS AND SIMPLE C-STAR-ALGEBRAS [J].
BEDOS, E .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1991, 109 :521-537
[6]  
BEDOS E, 1994, HOUSTON J MATH, V20, P63
[7]   A DECOMPOSITION THEOREM FOR REGULAR EXTENSIONS OF VONNEUMANN-ALGEBRAS [J].
BEDOS, E .
MATHEMATICA SCANDINAVICA, 1991, 68 (01) :108-114
[8]  
Bedos Erik, 1993, J OPERATOR THEORY, V30, P149
[9]  
BOCA F, 1988, J OPERAT THEOR, V20, P183
[10]   THE CROSSED PRODUCT OF A UHF ALGEBRA BY A SHIFT [J].
BRATTELI, O ;
STORMER, E ;
KISHIMOTO, A ;
RORDAM, M .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1993, 13 :615-626
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