The index semigroup and \(K\)-groups of graph-groupoid \(C^{*}\)-algebras
DOI10.1007/s11785-012-0271-5zbMath1297.05096OpenAlexW1970910741MaRDI QIDQ403679
Publication date: 29 August 2014
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-012-0271-5
graph groupoidsfinite directed graphsgraph inclusionsgraph indexgraph-von Neumann algebrasindex morphismindex semigroupsJones indexquasi-basesWatatani's extended Jones index
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) 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) Quantum algorithms and complexity in the theory of computing (68Q12)
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