Index semigroup and indexing on von Neumann algebras

DOI10.1007/s11785-011-0208-4zbMath1304.05056OpenAlexW2107073069MaRDI QIDQ483909

Ilwoo Cho

Publication date: 17 December 2014

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0208-4

zbMATH Keywords

graph groupoidsfinite directed graphsgraph inclusionsgraph indexindex morphismindex semigroupsJones indexquasi-basesWatatani's extended Jones indexgraph von Neumann algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Applications of functional analysis in quantum physics (46N50) Directed graphs (digraphs), tournaments (05C20) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Miscellaneous applications of operator theory (47N99) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Directed graphs, von Neumann algebras, and index
• Maximum Zagreb index, minimum hyper-Wiener index and graph connectivity
• \(C^{*}\)-subalgebras generated by a single operator in \(B(H)\)
• The edge-Wiener index of a graph
• On the index of tricyclic graphs with perfect matchings
• Extension of Jones' theory on index of arbitrary factors
• Action of discrete amenable groups on von Neumann algebras
• Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
• Index for subfactors
• Index for 𝐶*-subalgebras
• Entropy and index for subfactors
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory

This page was built for publication: Index semigroup and indexing on von Neumann algebras