Divisibility properties for C *-algebras

DOI10.1112/plms/pds082zbMath1339.46051arXiv1106.5523OpenAlexW3104381319MaRDI QIDQ2840180

Leonel Robert, Mikael Rørdam

Publication date: 17 July 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5523

zbMATH Keywords

ultrapowerstensor productsCuntz semigroup\(C^{\ast}\)-algebrasalmost divisiblealmost unperforatedKirchberg's covering number

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Tensor products of (C^*)-algebras (46L06)

Related Items (12)

Stable elements and property (S) ⋮ Inheritance of divisibility forms a large subalgebra ⋮ Regularity of Villadsen algebras and characters on their central sequence algebras ⋮ The Global Glimm Property ⋮ Soft operators in C*-algebras ⋮ Nowhere scattered \(C^{\ast}\)-algebras ⋮ Nuclear dimension and 𝒵-stability of non-simple 𝒞*-algebras ⋮ Certain Cuntz semigroup properties of certain crossed product \(C^*\)-algebras ⋮ Tensor products and regularity properties of Cuntz semigroups ⋮ Model theory of 𝐶*-algebras ⋮ \(C^*\)-algebras of stable rank one and their Cuntz semigroups ⋮ When central sequence C*-algebras have characters

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