Y. Watatani

activity

20032022

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

16 citations · 48 across the 24 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.OA2003

Jones index theory for Hilbert C*-bimodules and its equivalence with conjugation theory

T. Kajiwara, C. Pinzari, Y. Watatani

We introduce the notion of finite right (respectively left) numerical index on a bimodule $X$ over C*-algebras A and B with a bi-Hilbertian structure. This notion is based on a Pim…