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5 papers · 2 filters
Toeplitz-composition C*-algebras for certain finite Blaschke products
Hiroyasu Hamada, Yasuo Watatani
Let R be a finite Blaschke product of degree at least two with R(0)=0. Then there exists a relation between the associated composition operator C_R on the Hardy space and the C*-al…
Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III
Toshihiko Masuda, Reiji Tomatsu
We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. Our main technical tools are the structural analysis of…
Approximate innerness and central triviality of endomorphisms
Toshihiko Masuda, Reiji Tomatsu
We introduce the notions of approximate innerness and central triviality for endomorphisms on separable von Neumann factors, and we characterize them for hyperfinite factors by Con…
Quasi-orthogonal subalgebras of matrix algebras
Hiromichi Ohno
We investigate pairwise quasi-orthogonal subalgebras in which are isomorphic to for , and a prime number with . We prove th…
-algebras arising from substitutions
Masaru Fujino
In this paper, we introduce a -algebra associated with a proper primitive substitution. We show that the -algebra is simple and purely infinite and contains the…