Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Putnam, Ian F."'
Autor:
Putnam, Ian F.
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 a finite graph which presents the shift of finite type, a second finit
Externí odkaz:
http://arxiv.org/abs/2208.14427
Autor:
Putnam, Ian F., Treviño, Rodrigo
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 construction given in [LT16] was essentially combinatorial. Here, we provide
Externí odkaz:
http://arxiv.org/abs/2205.01537
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 obstructions do not hold for more general spaces. More precisely, mini
Externí odkaz:
http://arxiv.org/abs/2012.10950
In this paper we consider the question of what abelian groups can arise as the $K$-theory of $\mathrm{C}^*$-algebras arising from minimal dynamical systems. We completely characterize the $K$-theory of the crossed product of a space $X$ with finitely
Externí odkaz:
http://arxiv.org/abs/2012.10947
Autor:
Putnam, Ian F.
We discuss the relative K-theory for a $C^{*}$-algebra, $A$, together with a $C^{*}$-subalgebra, $A' \subseteq A$. The relative group is denoted $K_{i}(A';A), i = 0, 1$, and is due to Karoubi. We present a situation of two pairs $A' \subseteq A$ and
Externí odkaz:
http://arxiv.org/abs/2008.09705
Floyd gave an example of a minimal dynamical system which was an extension of an odometer and the fibres of the associated factor map were either singletons or intervals. Gjerde and Johansen showed that the odometer could be replaced by any Cantor mi
Externí odkaz:
http://arxiv.org/abs/1907.04153
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 given any finite CW-complex there exists a space with the same K-theor
Externí odkaz:
http://arxiv.org/abs/1907.03851
Cohomology for actions of free abelian groups on the Cantor set has (when endowed with an order structure) provided a complete invariance for orbit equivalence. In this paper, we study a particular class of actions of such groups called odometers (or
Externí odkaz:
http://arxiv.org/abs/1709.08585