On the Structure and Tensor Products of JC-Algebras

DOI10.4153/CJM-1983-059-8zbMath0536.46047MaRDI QIDQ3320941

Harald Hanche-Olsen

Publication date: 1983

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

spin factorsspin algebrasuniversal \(C^*\)-algebrafixed point algebras of antiautomorphisms on \(C^*\)-algebrasnorm closed Jordan algebras of operators on a Hilbert spacestructure of JC-algebrastensor product of JC-algebrasuniversally reversible algebras

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of (C^*)-algebras (46L05) Jordan structures on Banach spaces and algebras (17C65)

Related Items (15)

Symmetry, compact closure and dagger compactness for categories of convex operational models ⋮ Commutativity in Jordan operator algebras ⋮ Some Nearly Quantum Theories ⋮ Operator space structure of \(JC^*\)-triples and TROs. I ⋮ Perfect JC-algebras ⋮ Unnamed Item ⋮ Extension of Jauch–Piron states on Jordan algebras ⋮ On the relationship between Jordan algebras and their universal enveloping algebras ⋮ Complex Borel structure in \(JC\)-algebras ⋮ Composite systems and the role of the complex numbers in quantum mechanics ⋮ Classification of \(JBW^ *\)-triples of type I ⋮ Conjugacy of involutive antiautomorphisms of von Neumann algebras ⋮ On the tensor products of maximal abelian JW-algebras ⋮ A K-theoretic approach to the classification of symmetric spaces ⋮ A computer scientist’s reconstruction of quantum theory*

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