44 citations · 110 across the 20 of their papers we have counts for
25 papers
Orbit-breaking in Deaconu-Renault groupoids and models for UCT Kirchberg algebras
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
We generalize the concept of orbit-breaking from the case of a homeomorphism to the case of a surjective local homeomorphism. This method creates open subgroupoids of the Deaconu--…
-dimension groups
Thierry Giordano, Ian F. Putnam, Christian F. Skau
We study a class of simple dimension groups in which the cyclic subgroup generated by the order unit is replaced by a copy of satisfying some strict conditions. Ou…
Binary factors of shifts of finite type
Ian F. Putnam
We construct two new classes of topological dynamical systems; one is a factor of a one-sided shift of finite type while the second is a factor of the two-sided shift. The data is…
Bratteli diagrams, translation flows and their -algebras
Ian F. Putnam, Rodrigo Treviño
In [LT16], Kathryn Lindsey and the second author constructed a translation surface from a bi-infinite Bratteli diagram. We continue an investigation into these surfaces. The constr…
Minimal homeomorphisms and topological -theory
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
The Lefschetz fixed point theorem provides a powerful obstruction to the existence of minimal homeomorphisms on well-behaved spaces such as finite CW-complexes. We show that these…
An excision theorem for the K-theory of C*-algebras, with applications to groupoid C*-algebras
Ian F. Putnam
We discuss the relative K-theory for a -algebra, , together with a -subalgebra, . The relative group is denoted , and is due…