Dye's theorem and Gleason's theorem for \(AW^\ast\)-algebras

DOI10.1016/J.JMAA.2014.09.040zbMath1320.46041arXiv1408.4597OpenAlexW2964333404MaRDI QIDQ465205

Jan Hamhalter

Publication date: 31 October 2014

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

Full work available at URL: https://arxiv.org/abs/1408.4597

zbMATH Keywords

\(AW^\ast\)-algebrasDye's theoremGleason's theorem

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (16)

Symmetries of C ∗-algebras and Jordan Morphisms ⋮ Spectral order on \(AW^\ast\)-algebras and its preservers ⋮ Gleason’s theorem for composite systems ⋮ Star order on operator and function algebras and its nonlinear preservers ⋮ Spectral order isomorphisms and AW$AW$*‐factors ⋮ The paraunitary group of a von Neumann algebra ⋮ Classifying finite-dimensional \(C^*\)-algebras by posets of their commutative \(C^*\)-subalgebras ⋮ Unnamed Item ⋮ Extension of projection mappings ⋮ Star order and partial isometries in \(C^\ast\)-algebras ⋮ Quantum spectral symmetries ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ Boolean subalgebras of orthoalgebras ⋮ Dye's theorem for tripotents in von Neumann algebras and JBW\(^*\)-triples ⋮ Domains of commutative C*-subalgebras ⋮ Ortho-sets and Gelfand spectra

Cites Work

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