Affiliated subspaces and infiniteness of von Neumann algebras

DOI10.1002/MANA.201200157zbMath1280.46038OpenAlexW2038658232MaRDI QIDQ5325957

Jan Hamhalter, Ekaterina Turilova

Publication date: 31 July 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200157

zbMATH Keywords

GNS representationquasi-splitting subspacessubspaces affiliated with a von Neumann algebrasubspaces in pre-Hilbert spaces

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) States of selfadjoint operator algebras (46L30) Classification of factors (46L36)

Related Items (2)

Probability structures in subspace lattice approach to foundations of quantum theory ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018)

Cites Work

• Measures on classes of subspaces affiliated with a von Neumann algebra
• Orthonormal bases and quasi-splitting subspaces in pre-Hilbert spaces
• Classes of subspaces affiliated with a von Neumann algebra.
• Theory of operator algebras. II
• A Completeness Criterion for Inner Product Spaces
• Quasi‐splitting subspaces in a pre‐Hilbert space
• Only ‘free’ measures are admissable on 𝐹(𝑆) when the inner product space 𝑆 is incomplete
• A remark on Piron's paper
• Quantum measure theory
• Theory of operator algebras I.

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