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.
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3 Pith papers cite this work. Polarity classification is still indexing.
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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.
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.
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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.
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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.
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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.