most citedDimension groups for interval maps

12 citations · 12 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2004

C*-algebras associated with interval maps

Valentin Deaconu, Fred Shultz

For each piecewise monotonic map tau of [0,1], we associate a pair of C*-algebras F_tau and O_tau and calculate their K-groups. The algebra F_tau is an AI-algebra. We characterize…

math.DS2004

Dimension groups for interval maps II: the transitive case

Fred Shultz

Any continuous, transitive, piecewise monotonic map is determined up to a binary choice by its dimension module with the associated finite sequence of generators. The dimension mod…

math.DS2004★ 12 cited

Dimension groups for interval maps

Fred Shultz

With each piecewise monotonic map of the unit interval, a dimension triple is associated. The dimension triple, viewed as a Z[t, t^{-1}] module, is finitely generated, and generato…