Fubini and martingale theorems in C* -algebras

DOI10.1017/S0305004100000633zbMath0408.46052MaRDI QIDQ4195442

Charles J. K. Batty

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

State SpaceFubini's TheoremMartingale Convergence TheoremC*-Tensor ProductsNoncommutative IntegrationSlice Maps

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Measures and integrals in product spaces (28A35)

Cites Work

• Unnamed Item
• Conditional expectation in an operator algebra. II
• Unitary invariants for representations of operator algebras
• Complications of semicontinuity in \(C^*\)-algebra theory
• On the Borel structure of \(C^ *\)-algebras
• \(C^ *\)-algebras and Mackey's axioms
• Applications of Fubini type theorem to the tensor products of \(C^ *\)- algebras
• On weak and monotone \(\sigma\)-closures of \(C^ *\)-algebras
• Tensor products of compact convex stes
• Applications of weak\(^*\) semicontinuity in \(C^*\)-algebra theory
• Martingales on von Neumann algebras
• On The Second Dual of the Space of Continuous Functions
• THE STRUCTURE OF Σ*-ALGEBRAS
• Measure Theory for $C^*$ Algebras III.
• A Theory of Cross-Spaces. (AM-26)

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