10 citations · 19 across the 4 of their papers we have counts for
4 papers
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…
Crossed products by minimal homeomorphisms
Huaxin Lin, N. Christopher Phillips
Let X be an infinite compact metric space with finite covering dimension and let h be a minimal homeomorphism of X. Let A be the associated crossed product C*-algebra. We show that…
Real rank and property (SP) for direct limits of recursive subhomogeneous algebras
N. Christopher Phillips
Let A be a unital simple direct limit of recursive subhomogeneous C*-algebras with no dimension growth. We give criteria which specify exactly when A has real rank zero, and exactl…