Reduced twisted group C*-algebras of groups with property P_PHP are completely selfless, and those of finite-by-G extensions have stable rank one and are pure.
Title resolution pending
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
citation-role summary
background 1
other 1
citation-polarity summary
fields
math.OA 5verdicts
UNVERDICTED 5representative citing papers
Certain crossed products of C(X,D) by minimal homeomorphisms and compact group actions with Rokhlin-type properties are pure C*-algebras with stable rank one.
Factorial tracially complete C*-algebras with CPoU have real rank zero and stable rank one, giving a description of the Cuntz semigroup including for Z-stable cases.
Reduced twisted group C*-algebras of selfless groups with rapid decay are selfless, implying that those of acylindrically hyperbolic groups with rapid decay are pure and have strict comparison.
A compilation of 99 open problems in the structure and classification of nuclear C*-algebras.
citing papers explorer
-
Pureness and stable rank one for reduced twisted group $\mathrm{C}^\ast$-algebras of certain group extensions
Reduced twisted group C*-algebras of groups with property P_PHP are completely selfless, and those of finite-by-G extensions have stable rank one and are pure.
-
Pureness of Certain Crossed Product C*-Algebras
Certain crossed products of C(X,D) by minimal homeomorphisms and compact group actions with Rokhlin-type properties are pure C*-algebras with stable rank one.
-
The real and stable rank of tracially complete C*-algebras
Factorial tracially complete C*-algebras with CPoU have real rank zero and stable rank one, giving a description of the Cuntz semigroup including for Z-stable cases.
-
Strict comparison for twisted group C*-algebras
Reduced twisted group C*-algebras of selfless groups with rapid decay are selfless, implying that those of acylindrically hyperbolic groups with rapid decay are pure and have strict comparison.
-
Nuclear C*-algebras: 99 problems
A compilation of 99 open problems in the structure and classification of nuclear C*-algebras.