16 citations · 19 across the 4 of their papers we have counts for
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-Algebras associated with Mauldin-Williams Graphs
Marius Ionescu, Yasuo Watatani
A Mauldin-Williams graph is a generalization of an iterated function system by a directed graph. Its invariant set plays the role of the self-similar set. We asso…
Relative position of four subspaces in a Hilbert space
Masatoshi Enomoto, Yasuo Watatani
The relative position of one subfactor of a factor has been proved quite rich since the work of Jones. We shall show that the theory of relative position of several subspaces of a…
C^*-algebras associated with self-similar sets
Tsuyoshi Kajiwara, Yasuo Watatani
Let , , be a system of proper contractions on a complete metric space. Then there exists a unique self-similar non-empty compact subset . We consider…
C^*-algebras associated with complex dynamical systems
Tsuyoshi Kajiwara, Yasuo Watatani
Iteration of a rational function gives a complex dynamical system on the Riemann sphere. We introduce a -algebra associated with as a Cuntz-Pimsner al…