ON INFINITE SIMPLE C-STAR-ALGEBRAS

被引:39
作者
LIN, HX
ZHANG, SA
机构
[1] E CHINA NORMAL UNIV,DEPT MATH,SHANGHAI 200062,PEOPLES R CHINA
[2] UNIV CINCINNATI,DEPT MATH SCI,CINCINNATI,OH 45221
基金
中国国家自然科学基金;
关键词
D O I
10.1016/0022-1236(91)90109-I
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that simple C*-algebras with an infinite element contain nontrivial projections. We also prove that various apparently different hypotheses purely infinite on simple C*-algebras are all equivalent. © 1991.
引用
收藏
页码:221 / 231
页数:11
相关论文
共 23 条
[1]   THE STRUCTURE OF STABLE ALGEBRAICALLY SIMPLE C-STAR-ALGEBRAS [J].
BLACKADAR, BE ;
CUNTZ, J .
AMERICAN JOURNAL OF MATHEMATICS, 1982, 104 (04) :813-822
[2]   A SIMPLE C-STAR-ALGEBRA WITH NO NONTRIVIAL PROJECTIONS [J].
BLACKADAR, BE .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 78 (04) :504-508
[3]  
BLACKADAR BE, 1981, J OPERAT THEOR, V5, P63
[4]   C-STAR-ALGEBRAS OF REAL RANK ZERO [J].
BROWN, LG ;
PEDERSEN, GK .
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 99 (01) :131-149
[5]   STRUCTURE OF MULTIPLICATION AND ADDITION IN SIMPLE CSTAR-ALGEBRAS [J].
CUNTZ, J .
MATHEMATICA SCANDINAVICA, 1977, 40 (02) :215-233
[6]   DIMENSION FUNCTIONS ON SIMPLE C-STAR-ALGEBRAS [J].
CUNTZ, J .
MATHEMATISCHE ANNALEN, 1978, 233 (02) :145-153
[7]   SIMPLE CSTAR-ALGEBRAS GENERATED BY ISOMETRIES [J].
CUNTZ, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 57 (02) :173-185
[8]  
CUNTZ J, 1982, P SYMP PURE MATH, V38, P85
[9]   CLASS OF CSTAR-ALGEBRAS AND TOPOLOGICAL MARKOV-CHAINS [J].
CUNTZ, J ;
KRIEGER, W .
INVENTIONES MATHEMATICAE, 1980, 56 (03) :251-268
[10]   EQUIVALENCE AND TRACES ON C-STAR-ALGEBRAS [J].
CUNTZ, J ;
PEDERSEN, GK .
JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 33 (02) :135-164