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Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one

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arxiv 2403.04649 v2 pith:G43ND4SX submitted 2024-03-07 math.OA math.GR

Sven Raum This is my paper · ORCID
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keywords groupacylindricallyhyperbolicrankstabletwistedalgebraalgebras
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We prove that the twisted group C*-algebra of an acylindrically hyperbolic group -- not necessarily having trivial finite radical -- has stable rank one.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Extensions of pure C*-algebras

    math.OA 2025-06 conditional novelty 8.0 of 10

    Pureness of C*-algebras is preserved under extensions: an algebra is pure iff every closed ideal and its quotient are pure.

  2. Nonnuclear Bunce-Deddens algebras

    math.OA 2026-07 accept novelty 6.0 of 10

    Free odometer crossed products by nonamenable residually finite groups yield simple nonnuclear C*-algebras that frequently have real rank zero, stable rank one, unique trace, and selflessness, with explicit K-theory o...

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