19 citations · 53 across the 12 of their papers we have counts for
12 papers
Dimension groups for self-similar maps and matrix representations of the core of the associated C*-algebras
Tsuyoshi Kajiwara, Yasuo Watatani
We introduce a dimension group for a self-similar map as the -group of the core of the -algebra associated with the self-similar map together with the canonical end…
Ideals of the core of C*-algebras associated with self-similar maps
Tsuyoshi Kajiwara, Yasuo Watatani
We give a complete classification of the ideals of the core of the C*-algebras associated with self-similar maps under a certain condition. Any ideal is completely determined by th…
C*-algebras associated with complex dynamical systems and backward orbit structure
Tsuyoshi Kajiwara, Yasuo Watatani
Let be a rational function. The iterations of gives a complex dynamical system on the Riemann sphere. We associate a -algebra and study a relation between th…
Traces on cores of C*-algebras associated with self-similar maps
Tsuyoshi Kajiwara, Yasuo Watatani
We completely classify the extreme tracial states onthe cores of the C*-algebras associated with self-similar maps on compact metric spaces. We present a complete list of them. The…
KMS states on finite-graph C*-algebras
Tsuyoshi Kajiwara, Yasuo Watatani
We study KMS states on finite-graph C*-algebras with sinks and sources. We compare finite-graph C*-algebras with C*-algebras associated with complex dynamical systems of rational f…
-algebras associated with algebraic correspondences on the Riemann sphere
Tsuyoshi Kajiwara, Yasuo Watatani
Let be a polynomial in two variables. We call the solution of the algebraic equation the algebraic correspondence. We regard it as the graph of the multivalue…