CUNTZ–KRIEGER ALGEBRAS AND A GENERALIZATION OF CATALAN NUMBERS

DOI10.1142/S0129167X13500407zbMath1291.46051arXivmath/0607517MaRDI QIDQ2854051

Kengo Matsumoto

Publication date: 17 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607517

zbMATH Keywords

generating functionsdirected graphsCuntz-Krieger algebrasDyck pathsCatalan numbers\(C^{\ast}\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (2)

On subshift presentations ⋮ On the Markov-Dyck shifts of vertex type

Cites Work

• Graphs, groupoids, and Cuntz-Krieger algebras
• Dyck paths with coloured ascents
• Cuntz-Krieger algebras of directed graphs
• A class of C*-algebras and topological Markov chains
• Catalan numbers, their generalization, and their uses
• On certain free product factors via an extended matrix model
• Simple \(C^*\)-algebras generated by isometries
• Dyck path enumeration
• Circular codes, loop counting, and zeta-functions
• Fibonacci and Catalan Numbers
• Orthogonal Completions of the Polycyclic Monoids
• On the uniqueness of the equilibrium state
• On C*-Algebras Associated with Subshifts
• An Introduction to Symbolic Dynamics and Coding
• ON SUBSHIFTS AND SEMIGROUPS

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