scholarly journals Invertibility and topological stable rank for semi-crossed product algebras

1990 ◽  
Vol 20 (2) ◽  
pp. 513-528 ◽  
Author(s):  
J. PETERS
Keyword(s):  
Stable Rank ◽  
Crossed Product ◽  
Topological Stable Rank ◽  
Crossed Product Algebras

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

Primes of Gauss Extensions Over Crossed Product Algebras

2012 ◽  
Vol 40 (6) ◽  
pp. 1951-1973 ◽  
Author(s):  
H. H. Brungs ◽  
H. Marubayashi ◽  
E. Osmanagic
Keyword(s):  
Crossed Product ◽  
Crossed Product Algebras

scholarly journals Almost Finiteness for General Étale Groupoids and Its Applications to Stable Rank of Crossed Products

2018 ◽  
Vol 2020 (19) ◽  
pp. 6007-6041 ◽  
Author(s):  
Yuhei Suzuki
Keyword(s):  
Amenable Group ◽  
Cantor Set ◽  
Stable Rank ◽  
Crossed Product ◽  
Local Version ◽  
Crossed Products ◽  
Subexponential Growth ◽  
Minimal Action ◽  
New Strategy ◽  
Totally Disconnected

Abstract We extend Matui’s notion of almost finiteness to general étale groupoids and show that the reduced groupoid C$^{\ast }$-algebras of minimal almost finite groupoids have stable rank 1. The proof follows a new strategy, which can be regarded as a local version of the large subalgebra argument. The following three are the main consequences of our result: (1) for any group of (local) subexponential growth and for any its minimal action admitting a totally disconnected free factor, the crossed product has stable rank 1; (2) any countable amenable group admits a minimal action on the Cantor set, all whose minimal extensions form the crossed product of stable rank 1; and (3) for any amenable group, the crossed product of the universal minimal action has stable rank 1.

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
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