11 citations · 16 across the 2 of their papers we have counts for
3 papers
math.OA2004★ 5 cited
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…
math.OA2002★ 11 cited
Direct limit decomposition for C*-algebras of minimal diffeomorphisms
Qing Lin, N. Christopher Phillips
This is a survey article describing the proof that the crossed product C^* (Z, M, h) of a compact smooth manifold M by a minimal diffeomorphism h of M is isomorphic to a direct lim…
math.OA2001
Cancellation and stable rank for direct limits of recursive subhomogeneous algebras
N. Christopher Phillips
We prove the following results for a unital simple direct limit of recursive subhomogeneous algebras with no dimension growth: (1) A has stable rank 1. (2) The projections in $…