Cuntz semigroups of ultraproduct C∗‐algebras

DOI10.1112/jlms.12343zbMath1494.46048arXiv1905.03208OpenAlexW3027191910MaRDI QIDQ3389185

Francesc Perera, Hannes Thiel, Ramon Antoine

Publication date: 10 May 2021

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

Full work available at URL: https://arxiv.org/abs/1905.03208

zbMATH Keywords

productinductive limitcoproductultraproductCuntz semigroupsimplepurely infinitecategorical limit

Mathematics Subject Classification ID

Ultraproducts in functional analysis (46M07) General theory of (C^*)-algebras (46L05) Inductive and projective limits in functional analysis (46M40) Categories, functors in functional analysis (46M15) (K_0) as an ordered group, traces (19K14)

Related Items (9)

Covering dimension of Cuntz semigroups II ⋮ A systematic approach for invariants of $C^*$-algebras ⋮ The Global Glimm Property ⋮ Soft operators in C*-algebras ⋮ Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras ⋮ A unitary Cuntz semigroup for \(C^\ast \)-algebras of stable rank one ⋮ Covering dimension of Cuntz semigroups ⋮ Uniformly based Cuntz semigroups and approximate intertwinings ⋮ A categorical study on the generalized type semigroup

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