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math.OA2019
Constructions in minimal amenable dynamics and applications to the classification of -algebras
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
We study the existence of minimal dynamical systems, their orbit and minimal orbit-breaking equivalence relations, and their applications to C*-algebras and K-theory. We show that…
math.OA2019
Smale space C*-algebras have nonzero projections
Robin J. Deeley, Magnus Goffeng, Allan Yashinski
The main result of the present paper is that the stable and unstable C*-algebras associated to a mixing Smale space always contain nonzero projections. This gives a positive answer…
math.OA2018
The stable algebra of a Wieler solenoid: inductive limits and K-theory
Robin J. Deeley, Allan Yashinski
Wieler has shown that every irreducible Smale space with totally disconnected stable sets is a solenoid (i.e., obtained via a stationary inverse limit construction). Using her cons…