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Operator algebraic quotient structures induced by direct graphs. II

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Publication:371817
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DOI10.1007/S11785-011-0204-8zbMath1272.05062OpenAlexW2136986985MaRDI QIDQ371817

Ilwoo Cho

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-011-0204-8


zbMATH Keywords

freenessdirected graphsgraph groupoidsgroupoid von Neumann algebraspull-back graphspull-back groupoidsthe pull-back process


Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Miscellaneous applications of operator theory (47N99)





Cites Work

  • Graph von Neumann algebras
  • Measures on graphs and groupoid measures
  • \(C^{*}\)-algebras generated by partial isometries
  • Vertex-compressed subalgebras of a graph von Neumann algebra
  • Characterization of amalgamated free blocks of a graph von Neumann algebra
  • C * -subalgebras generated by partial isometries
  • Combinatorial theory of the free product with amalgamation and operator-valued free probability theory




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