5 citations · 7 across the 3 of their papers we have counts for
4 papers · 1 filter
Furstenberg transformations on irrational rotation algebras
Hiroyuki Osaka, N. Christopher Phillips
We introduce a general class of automorphisms of rotation algebras, the noncommutative Furstenberg transformations. We prove that fully irrational noncommutative Furstenberg transf…
Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property
Hiroyuki Osaka, N. Christopher Phillips
We introduce the tracial Rokhlin property for automorphisms of stably finite simple unital C*-algebras containing enough projections. This property is formally weaker than the vari…
The Rokhlin property and the tracial topological rank
Huaxin Lin, Hiroyuki Osaka
Let be a unital separable simple \CA with $\tr(A)\le 1$ and be an automorphism. We show that if satisfies the tracially cyclic Rokhlin property then $\tr(A\rtimes_α\Z)\…
Monotone operator functions on -algebra
Hiroyuki Osaka, Sergei D. Silvestrov, Jun Tomiyama
The article is devoted to investigation of classes of functions monotone as functions on general -algebras that are not necessarily the -algebras of all bounded linear op…