A Gelfand-Naimark theorem for \(C^*\)-algebras

DOI10.2140/pjm.1998.184.95zbMath0917.46053OpenAlexW4230848743MaRDI QIDQ1127810

Ichiro Fujimoto

Publication date: 19 July 1999

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

Full work available at URL: https://doi.org/10.2140/pjm.1998.184.95

zbMATH Keywords

\(C^*\)-algebraGelfand-Naimark theoremconvexity theoryabstract Dirichlet problemCP-convexityCP-extreme boundaryduality for \(C^*\)-algebrasKadison's function representation theoremnon-commutative Gelfand-Naimark theoremsectional representation in \(C^*\)-bundles over the primitive ideal spacesemi-perfectnessStone-Weierstrass property

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items

Contextuality and noncommutative geometry in quantum mechanics