Cuntz-Krieger algebras and \(C^{*}\)-algebras of topological graphs

DOI10.1007/S10440-009-9535-0zbMath1193.46042OpenAlexW2052839324MaRDI QIDQ844261

Takeshi Katsura

Publication date: 18 January 2010

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

Full work available at URL: https://doi.org/10.1007/s10440-009-9535-0

zbMATH Keywords

Markov chaingroupoidtopological graph\(C^{*}\)-algebraCuntz-Krieger algebrafactor mapsingly generated dynamical system

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (4)

A correspondence between surjective local homeomorphisms and a family of separated graphs ⋮ Isomorphisms of tensor algebras arising from weighted partial systems ⋮ Unnamed Item ⋮ Boundary path groupoids of generalized Boolean dynamical systems and their \(C^{\ast}\)-algebras

Cites Work

• A groupoid approach to C*-algebras
• A class of C*-algebras and topological Markov chains
• A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results
• A CLASS OF C*-ALGEBRAS GENERALIZING BOTH GRAPH ALGEBRAS AND HOMEOMORPHISM C*-ALGEBRAS II, EXAMPLES
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