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\(K\)-theory of locally finite graph \(C^\ast\)-algebras

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Publication:390924
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DOI10.1016/j.geomphys.2013.04.003zbMath1278.05142arXiv1007.3952OpenAlexW2124547773MaRDI QIDQ390924

Natalia K. Iyudu

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3952

zbMATH Keywords

Betti numberCuntz-Krieger algebragraph \(C^\ast\)-algebraBass-Hashimoto operatorGrothendieck and Whitehead groups


Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) (K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Infinite graphs (05C63)


Related Items

\(C^{\ast}\)-algebras associated to graphs of groups



Cites Work

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  • On the \(K\)-theory of graph \(C^{*}\)-algebras
  • Invariant boundary distributions for finite graphs
  • A class of C*-algebras and topological Markov chains
  • Classification of Cuntz-Krieger algebras
  • Nonstable \(K\)-theory for graph algebras.
  • Torsion in boundary coinvariants and \(K\)-theory for affine buildings
  • On the \(K\)-theory of Cuntz-Krieger algebras
  • THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
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