Dual maps of Jordan homomorphisms and *-homomorphisms between \(C^*\)- algebras

DOI10.2140/pjm.1981.93.435zbMath0424.46037OpenAlexW1984032231MaRDI QIDQ1134963

Frederic W. Shultz

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2140/pjm.1981.93.435

zbMATH Keywords

state spaceJB-algebraC*-algebrascompact convex setsdual maps of Jordan homomorphismsGelfand-Neumark theorem

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30) Jordan structures on Banach spaces and algebras (17C65) Topological algebras, normed rings and algebras, Banach algebras (46H99) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (4)

Completely positive maps and*-isomorphism ofC *-algebras II ⋮ Pure states as a dual object for C*-algebras ⋮ On positive decomposable maps ⋮ Normal state spaces of Jordan and von Neumann algebras

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