Tsuyoshi Kajiwara

most citedC^*-algebras associated with self-similar sets

16 citations · 16 across the 2 of their papers we have counts for

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math.OA2003★ 16 cited

C^*-algebras associated with self-similar sets

Tsuyoshi Kajiwara, Yasuo Watatani

Let $γ = (γ_{1}, ..., γ_{N})$ , $N \geq 2$ , be a system of proper contractions on a complete metric space. Then there exists a unique self-similar non-empty compact subset $K$ . We consider…

math.OA2003

C^*-algebras associated with complex dynamical systems

Tsuyoshi Kajiwara, Yasuo Watatani

Iteration of a rational function $R$ gives a complex dynamical system on the Riemann sphere. We introduce a $C^{*}$ -algebra $O_{R}$ associated with $R$ as a Cuntz-Pimsner al…

math.OA1998

Ideal structure and simplicity of the C*-algebras generated by Hilbert bimodules

Tsuyoshi Kajiwara, Claudia Pinzari, Yasuo Watatani

Pimsner introduced the C*-algebra O_X generated by a Hilbert bimodule X over a C*-algebra A. We look for additional conditions that X should satisfy in order to study simplicity an…