On selfadjoint extensions of semigroups of partial isometries

DOI10.1090/tran/6619zbMath1345.47018arXiv1411.5670OpenAlexW2964027455MaRDI QIDQ2821666

Alexey I. Popov, Heydar Radjavi, Laurent W. Marcoux, Janez Bernik

Publication date: 22 September 2016

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

Full work available at URL: https://arxiv.org/abs/1411.5670

zbMATH Keywords

multiplicitysemigrouppartial isometryselfadjointabelian von Neumann algebra

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) General theory of von Neumann algebras (46L10) Groups and semigroups of linear operators (47D03) Structure theory of linear operators (47A65) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (2)

Interplay of Simple and Selfadjoint-ideal semigroups in B(H) ⋮ Obstructions for semigroups of partial isometries to be self-adjoint

Cites Work

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• A class of C*-algebras and topological Markov chains
• Simple \(C^*\)-algebras generated by isometries
• Semigroups of partial isometries
• The structure of free smigroup algebras
• C*-Algebras of inverse semigroups
• Representations of the l 1 -Algebra of an Inverse Semigroup
• Non-commutative disc algebras and their representations
• Representations of Inverse Semi-Groups
• \(C^*\)-algebras by example

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