scholarly journals A note on the topological stable rank of an ideal

2011 ◽  
Vol 139 (11) ◽  
pp. 3999-4002 ◽  
Author(s):  
You Qing Ji ◽  
Yuan Hang Zhang
Keyword(s):  
Stable Rank ◽  
Topological Stable Rank

scholarly journals On the topological stable rank of non-selfadjoint operator algebras

2007 ◽  
Vol 341 (2) ◽  
pp. 239-253 ◽  
Author(s):  
K. R. Davidson ◽  
R. H. Levene ◽  
L. W. Marcoux ◽  
H. Radjavi
Keyword(s):  
Selfadjoint Operator ◽  
Operator Algebras ◽  
Stable Rank ◽  
Topological Stable Rank

scholarly journals Reduction of topological stable rank in inductive limits ofC∗-algebras

1992 ◽  
Vol 153 (2) ◽  
pp. 267-276 ◽  
Author(s):  
Marius Dadarlat ◽  
Gabriel Nagy ◽  
András Némethi ◽  
Cornel Pasnicu
Keyword(s):  
Stable Rank ◽  
Inductive Limits ◽  
Topological Stable Rank

scholarly journals STABLE RANK FOR INCLUSIONS OF C*-ALGEBRAS

2008 ◽  
Vol 19 (09) ◽  
pp. 1011-1020 ◽  
Author(s):  
HIROYUKI OSAKA
Keyword(s):  
Finite Groups ◽  
Stable Rank ◽  
C Algebra ◽  
C Algebras ◽  
Rank One ◽  
Common Unit ◽  
Topological Stable Rank

When a unital C*-algebra A has topological stable rank one (write tsr (A) = 1), we know that tsr (pAp) = 1 for a non-zero projection p ∈ A. When, however, tsr (A) ≥ 2, it is generally false. We prove that if a unital C*-algebra A has a simple unital C*-subalgebra D of A with common unit such that D has Property (SP) and sup p ∈ P(D) tsr (pAp) < ∞, then tsr (A) ≤ 2. As an application let A be a simple unital C*-algebra with tsr (A) = 1 and Property (SP), [Formula: see text] finite groups, αk actions from Gk to Aut ((⋯((A × α1 G1) ×α2 G2)⋯) ×αk-1 Gk-1). (G0 = {1}). Then [Formula: see text]

scholarly journals Tracially quasidiagonal extensions and topological stable rank

2003 ◽  
Vol 47 (3) ◽  
pp. 921-937 ◽  
Author(s):  
Huaxin Lin ◽  
Hiroyuki Osaka
Keyword(s):  
Stable Rank ◽  
Topological Stable Rank

scholarly journals On the topological stable rank of non-selfadjoint operator algebras

2008 ◽  
Vol 341 (4) ◽  
pp. 963-964 ◽  
Author(s):  
K. R. Davidson ◽  
R. H. Levene ◽  
L. W. Marcoux ◽  
H. Radjavi
Keyword(s):  
Selfadjoint Operator ◽  
Operator Algebras ◽  
Stable Rank ◽  
Topological Stable Rank

scholarly journals On the topological stable rank of certain transformation group C*-algebras

1990 ◽  
Vol 10 (1) ◽  
pp. 197-207 ◽  
Author(s):  
Ian F. Putnam
Keyword(s):  
Transformation Group ◽  
Metrizable Space ◽  
Stable Rank ◽  
Residual Finiteness ◽  
Dynamical Condition ◽  
C Algebras ◽  
Compact Metrizable Space ◽  
Topological Stable Rank ◽  
Necessary And Sufficient ◽  
Totally Disconnected

AbstractWe 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.

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