AMENABILITY FOR TWISTED COVARIANCE ALGEBRAS AND GROUP C-STAR-ALGEBRAS

被引:7
作者
LAU, AT [1 ]
PATERSON, ALT [1 ]
机构
[1] UNIV MISSISSIPPI, UNIVERSITY, MS 38677 USA
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0022-1236(91)90102-B
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The basic question studied in this paper is, When is a twisted covariance C*-algebra C*(G, A, F) amenable? This includes as a special case the question, When is a group C*-algebra C*(G) amenable? We show, in particular, that C*(H, A, F is amenable if C*(G, A, F is amenable and H is a closed normal subgroup of G. Other results that we prove use the derivation and injective characterizations for amenable C*-algebras. © 1991.
引用
收藏
页码:59 / 86
页数:28
相关论文
共 43 条
[1]  
Arveson W., 1969, ACTA MATH, V123, P141, DOI [10.1007/BF02392388, DOI 10.1007/BF02392388]
[2]   ON UNITARY RAY REPRESENTATIONS OF CONTINUOUS GROUPS [J].
BARGMANN, V .
ANNALS OF MATHEMATICS, 1954, 59 (01) :1-46
[3]  
BATTY CJK, 1986, J LOND MATH SOC, V34, P97
[4]   ON INDUCED REPRESENTATIONS [J].
BLATTNER, RJ .
AMERICAN JOURNAL OF MATHEMATICS, 1961, 83 (01) :79-&
[5]   FINITE OPERATORS AND AMENABLE C-STAR-ALGEBRAS [J].
BUNCE, JW .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 56 (APR) :145-151
[6]   NUCLEAR CSTAR-ALGEBRAS AND APPROXIMATION PROPERTY [J].
CHOI, MD ;
EFFROS, EG .
AMERICAN JOURNAL OF MATHEMATICS, 1978, 100 (01) :61-77
[7]   SEPARABLE NUCLEAR C]-ALGEBRAS AND INJECTIVITY [J].
CHOI, MD ;
EFFROS, EG .
DUKE MATHEMATICAL JOURNAL, 1976, 43 (02) :309-322
[8]   CLASSIFICATION OF INJECTIVE FACTORS - CASES II1, II INFINITY, III LAMBDA, LAMBDA NOT-EQUAL-TO 1 [J].
CONNES, A .
ANNALS OF MATHEMATICS, 1976, 104 (01) :73-115
[9]   CO-HOMOLOGY OF OPERATOR ALGEBRAS [J].
CONNES, A .
JOURNAL OF FUNCTIONAL ANALYSIS, 1978, 28 (02) :248-253
[10]  
CONNES A, 1977, C INT CNRS, V274