14 citations · 30 across the 5 of their papers we have counts for
6 papers
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…
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…
When are crossed products by minimal diffeomorphisms isomorphic?
N. Christopher Phillips
This is a survey which discusses the isomorphism problem for both C* and smooth crossed products by minimal diffeomorphisms. For C* crossed products, examples demonstrate the failu…
Crossed products of the Cantor set by free minimal actions of Z^d
N. Christopher Phillips
Let d be a positive integer, let X be the Cantor set, and let Z^d act freely and minimally on X. We prove that the crossed product C* (Z^d, X) has stable rank one, real rank zero,…
A simple separable C*-algebra not isomorphic to its opposite algebra
N. Christopher Phillips
We give an example of a simple separable C*-algebra which is not isomorphic to its opposite algebra. Our example is nonnuclear and stably finite, has real rank zero and stable rank…
Recursive subhomogeneous algebras
N. Christopher Phillips
We introduce and characterize a particularly tractable class of unital type 1 C*-algebras with bounded dimension of irreducible representations. Algebras in this class are called r…