Smale Spaces via Inverse Limits

Abstract

A Smale space is a chaotic dynamical system with canonical coordinates of contracting and expanding directions. The basic sets for Smale's Axiom A systems are a key class of examples. We consider the special case of irreducible Smale spaces with zero dimensional contracting directions, and characterize these as stationary inverse limits satisfying certain conditions.

26 pages, 7 figures, summary of PhD thesis

Cited by in corpus (7)

• Wieler solenoids, Cuntz-Pimsner algebras and K-theory
• Dynamical correspondences for Smale spaces
• On transversal Hölder regularity for flat Wieler solenoids
• Shape of matchbox manifolds
• The stable algebra of a Wieler solenoid: inductive limits and K-theory
• Group actions on Smale space C*-algebras
• Nuclear dimension and classification of C*-algebras associated to Smale spaces