Closed unitary and similarity orbits of normal operators in purely infinite \(C^\ast\)-algebras

DOI10.1016/j.jfa.2013.04.009zbMath1287.47032arXiv1208.6337OpenAlexW2062845590MaRDI QIDQ2637109

Paul Skoufranis

Publication date: 19 February 2014

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

Full work available at URL: https://arxiv.org/abs/1208.6337

zbMATH Keywords

normal operatorpurely infinite \(C^*\)-algebrasclosed similarity orbitclosed unitary orbits

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (6)

Five Hilbert space problems in operator algebras ⋮ Closed convex hulls of unitary orbits in \(C^{\ast}\)-algebras of real rank zero ⋮ On Specht's theorem in UHF \(C^\ast \)-algebras ⋮ Unitary orbits of self-adjoint operators in simple \(\mathcal{Z}\)-stable \(\mathrm{C}^\ast\)-algebras ⋮ Optimal transport and unitary orbits in \(\mathrm{C}^\ast\)-algebras ⋮ Distance between unitary orbits of normal elements in simple \(C^\ast\)-algebras of real rank zero

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• Unitary orbits of normal operators in von Neumann algebras
• Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra
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• Homomorphisms From C(X) Into C*-Algebras
• The closure of the similarity orbit of a Hilbert space operator
• \(C^*\)-algebras by example

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