Completely order Isomorphic and Close C* -Algebras need not BE, * -Isomorphic

DOI10.1112/blms/15.6.604zbMath0541.46046OpenAlexW2079759454MaRDI QIDQ3327173

Man-Duen Choi, Erik Christensen

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1112/blms/15.6.604

zbMATH Keywords

\(C^*\)-algebras which are not *-isomorphicdistance between \(C^*\)-algebrasenveloping von Neumann algebrasorder isomorphic

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (14)

Approximately finitely acting operator algebras ⋮ AN ALGEBRA WHOSE SUBALGEBRAS ARE CHARACTERIZED BY DENSITY ⋮ Rigidity conjectures for continuous quotients ⋮ A Kadison–Kastler row metric and intermediate subalgebras ⋮ Perturbations of nuclear \(C^*\)-algebras ⋮ The Atiyah-Segal completion theorem for \(C^*\)-algebras ⋮ Perturbations of certain crossed product algebras by free groups ⋮ Gaps in the poset of projections in the Calkin algebra ⋮ The structure of linear zero product and commutativity preservers of \(C^*\)-algebras ⋮ A noncommutative Amir-Cambern theorem for von Neumann algebras and nuclear \(C^\ast\)-algebras ⋮ Perturbations of intermediate C∗-subalgebras for simple C∗-algebras ⋮ Perturbations of \(C^*\)-algebraic invariants ⋮ The spatial isomorphism problem for close separable nuclear C*-algebras ⋮ Almost Commuting Matrices Need not be Nearly Commuting

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