Vertex-compressed subalgebras of a graph von Neumann algebra

DOI10.1007/S10440-008-9314-3zbMath1189.46052OpenAlexW2024054307MaRDI QIDQ1037625

Ilwoo Cho

Publication date: 16 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9314-3

zbMATH Keywords

graph von Neumann algebras(groupoid) crossed product algebrasamalgamated free blocksvertex-compressed subalgebras

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Crossed product algebras (analytic crossed products) (47L65)

Related Items (2)

Diagram groupoids and von Neumann algebras ⋮ Operator algebraic quotient structures induced by direct graphs. II

Cites Work

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• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
• You can see the arrows in a quiver operator algebra
• Higher-dimensional multifractal value sets for conformal infinite graph directed Markov systems
• DIRECT PRODUCTED W^*-PROBABILITY SPACES AND CORRESPONDING AMALGAMATED FREE STOCHASTIC INTEGRATION

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