ON THE TOPOLOGICAL STABLE RANK OF CERTAIN TRANSFORMATION GROUP C-STAR-ALGEBRAS

被引:50
作者
PUTNAM, IF [1 ]
机构
[1] DALHOUSIE UNIV,DEPT MATH STAT & COMP SCI,HALIFAX B3H 3J5,NS,CANADA
关键词
D O I
10.1017/S0143385700005484
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the crossed product or transformation group C-algebras arising from actions of the group of integers on a totally disconnected compact metrizable space. Under a mild hypothesis, we give a necessary and sufficient dynamical condition for the invertibles in such a C-algebra to be dense. We also examine the property of residual finiteness for such C-algebras. © 1990, Cambridge University Press. All rights reserved.
引用
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页码:197 / 207
页数:11
相关论文
共 12 条
  • [1] BLACKADAR B, 1986, MATH SCI RES I PUBLI, V5
  • [2] CORNFELD IP, 1982, GRUNDLEHREN MATH WIS, V245
  • [3] PEDERSEN GK, 1979, LONDON MATH SOC MONO, V14
  • [4] Pimsner M., 1980, J OPERAT THEOR, V4, P93
  • [5] PIMSNER MV, 1983, ERGOD THEOR DYN SYST, V3, P613
  • [6] POON YT, AF SUBALGEBRAS CERTA
  • [7] RIEFFEL MA, 1983, P LOND MATH SOC, V46, P301
  • [8] Vershik A. M., 1981, SOV MATH DOKL, V24, P97
  • [9] Vershik A. M., 1981, MATH RES, V12, P195
  • [10] Whitehead G.W., 1978, GRADUATE TEXTS MATH, V61