Unitary orbits of self-adjoint operators in simple \(\mathcal{Z}\)-stable \(\mathrm{C}^\ast\)-algebras

DOI10.1016/j.jfa.2015.08.019zbMath1342.46051arXiv1502.05272OpenAlexW2963359281MaRDI QIDQ499601

Karen R. Strung, Andrew S. Toms, Bhishan Jacelon

Publication date: 30 September 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05272

zbMATH Keywords

unitary orbits\(\mathcal{Z}\)-stable \(\mathrm{C}^\ast\)-algebras

Mathematics Subject Classification ID

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

Related Items (7)

The Dixmier property and tracial states for \(C^\ast\)-algebras ⋮ Metrics on trace spaces ⋮ Simplicity, bounded normal generation, and automatic continuity of groups of unitaries ⋮ Closed convex hulls of unitary orbits in \(C^{\ast}\)-algebras of real rank zero ⋮ Unitary orbits in 1-dimensional NCCW complexes ⋮ Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras ⋮ Optimal transport and unitary orbits in \(\mathrm{C}^\ast\)-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitary orbits in 1-dimensional NCCW complexes
• Nuclear dimension and \(\mathcal{Z}\)-stability of pure \(C^{\ast}\)-algebras
• Classification of inductive limits of 1-dimensional NCCW complexes
• Nuclear dimension and \(\mathcal Z\)-stability
• Classification of \(C^{*}\)-homomorphisms from \(C_{0}(0,1\) to a \(C^{*}\)-algebra]
• Perturbation of spectral subspaces and solution of linear operator equations
• Distance between unitary orbits in von Neumann algebras
• Spectral variation of normal matrices
• A simple \(C^ *\)-algebra with a finite and an infinite projection.
• Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras
• Nuclear dimension, \(\mathcal Z\)-stability, and algebraic simplicity for stably projectionless \(C^\ast\)-algebras
• Closed unitary and similarity orbits of normal operators in purely infinite \(C^\ast\)-algebras
• K-Theory for operator algebras. Classification of C$^*$-algebras
• On Inductive Limits of Type-I C*-Algebras with One-Dimensional Spectrum
• The cone of lower semicontinuous traces on a C*-algebra
• A bound for the spectral variation of a unitary operator
• Unitary orbits of normal operators in von Neumann algebras
• A Remark on Invariants for C*-Algebras of Stable Rank One
• The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras
• An infinite family of non-isomorphic C$^*$-algebras with identical $\mathrm {K}$-theory
• Homomorphisms between finite direct sums of circle algebras
• On a Simple Unital Projectionless C*-Algebra
• On the Classification of Simple Stably Projectionless C^*-Algebras
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• Obstructions to 𝒵-Stability for Unital Simple C^*-Algebras
• A simple, monotracial, stably projectionless C *‐algebra
• Three Applications of the Cuntz Semigroup

This page was built for publication: Unitary orbits of self-adjoint operators in simple \(\mathcal{Z}\)-stable \(\mathrm{C}^\ast\)-algebras