Soft operators in C*-algebras

DOI10.1016/j.jmaa.2024.128167arXiv2304.11644OpenAlexW4391277788MaRDI QIDQ6130368

Hannes Thiel, Eduard Vilalta

Publication date: 2 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.11644

zbMATH Keywords

\(C^\ast\)-algebrasCuntz semigroupssoft operatorsglobal Glimm problem

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) (K)-theory and operator algebras (19Kxx) Methods of category theory in functional analysis (46Mxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Cuntz semigroup and comparison of open projections
• Nuclear dimension and \(\mathcal{Z}\)-stability of pure \(C^{\ast}\)-algebras
• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• Classification of inductive limits of 1-dimensional NCCW complexes
• Isomorphism of Hilbert modules over stably finite \(C^*\)-algebras
• On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra. II
• On the continuity of semi-norms on operator algebras
• On stability of \(C^*\)-algebras
• A simple \(C^ *\)-algebra with a finite and an infinite projection.
• Covering dimension of Cuntz semigroups
• \(C^*\)-algebras of stable rank one and their Cuntz semigroups
• Stable elements and property (S)
• The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras
• Ranks of operators in simple \(C^*\)-algebras with stable rank one
• The generator rank of \(C^\ast \)-algebras
• Abstract bivariant Cuntz semigroups. II
• \(C^{*}\)-algebras with and without \(\ll\)-increasing approximate units
• Recasting the Elliott conjecture
• On the classification problem for nuclear \(C^*\)-algebras
• \({\mathcal{C}}_{0}(X)\)-algebras, stability and strongly self-absorbing \({\mathcal{C}}^{*}\)-algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• REMARKS ON -STABLE PROJECTIONLESS C*-ALGEBRAS
• Divisibility properties for C *-algebras
• The Cone of Functionals on the Cuntz Semigroup
• Nuclear dimension and 𝒵-stability of non-simple 𝒞*-algebras
• K-Theory for operator algebras. Classification of C$^*$-algebras
• The cone of lower semicontinuous traces on a C*-algebra
• The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra
• Cuntz semigroups of ultraproduct C∗‐algebras
• The Cuntz semigroup as an invariant for C*-algebras
• The Jiang–Su algebra revisited
• Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem
• Completely positive maps of order zero
• Scattered $C^*$-algebras.
• Non-simple purely infinite C*-algebras
• Tensor products and regularity properties of Cuntz semigroups
• SOFT C^*-ALGEBRAS
• Edwards' condition for quasitraces on C*-algebras
• Covering dimension of Cuntz semigroups II
• Abstract Bivariant Cuntz Semigroups
• When central sequence C*-algebras have characters
• The Global Glimm Property

This page was built for publication: Soft operators in C*-algebras