Kengo Matsumoto

most citedCuntz-Krieger algebras and a generalization of Catalan numbers

3 citations · 5 across the 4 of their papers we have counts for

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math.OA2006★ 3 cited

Cuntz-Krieger algebras and a generalization of Catalan numbers

Kengo Matsumoto

We first observe that the relations of the canonical generating isometries of the Cuntz algebra $O_{N}$ are naturally related to the $N$ -colored Catalan numbers. For a directe…

math.OA2006★ 2 cited

Textile systems on lambda-graph systems

Kengo Matsumoto

The notions of symbolic matrix system and $λ$ -graph system for a subshift are generalizations of symbolic matrix and $λ$ -graph (= finite symbolic matrix) for a sofic shift respecti…

math.OA2006

K-theory for the simple $C^{*}$ -algebra of the Fibonacchi Dyck system

Kengo Matsumoto

Let $F$ be the Fibonacci matrix $[1110]$ . The Fibonacci Dyck shift is a subshsystem of the Dyck shift $D_{2}$ constrained…

math.OA2006

$C^{*}$ -algebras arising from Dyck systems of topological Markov chains

Kengo Matsumoto

Let $A$ be an $N \times N$ irreducible matrix with entries in ${0, 1}$ . We define the topological Markov Dyck shift $D_{A}$ to be a nonsofic subshift consisting of the $2 N$ bracket…

Cuntz-Krieger algebras and a generalization of Catalan numbers

Textile systems on lambda-graph systems

K-theory for the simple C∗-algebra of the Fibonacchi Dyck system

C∗-algebras arising from Dyck systems of topological Markov chains

K-theory for the simple $C^{*}$ -algebra of the Fibonacchi Dyck system

$C^{*}$ -algebras arising from Dyck systems of topological Markov chains