Add to ORKGAbstract. An action of Zk is associated to a higher rank graph Λ satisfying a mild assumption. This generalises the construction of a topological Markov shift arising from a nonnegative integer matrix. We show that the stable Ruelle algebra of Λ is strongly Morita equivalent to C∗(Λ). Hence, if Λ satisfies the aperiodicity condition, the stable Ruelle algebra is simple, stable and purely infinite. 1
Let G be a finite group, and let XG = {x = (x(s,t)) Î GZ2 : x(s,t) = x(s,t-1)·x(s+1,t-1)for all (s,t...
For a finitely aligned k-graph Λ with X a set of vertices in Λ, we define a universal C*-algebra cal...
Let $A$ be an $N \times N$ irreducible matrix with entries in $\{0,1\}$. We define the topological M...
Abstract. An action of Zk is associated to a higher rank graph Λ satisfying a mild assumption. This ...
For a dynamical system arising from -action on a higher rank graph with finite vertex set, we show t...
Abstract. For a locally compact higher rank graph Λ, we construct a two-sided path space Λ ∆ with sh...
We initiate the program of extending to higher-rank graphs (k-graphs) the geometric classification o...
Abstract. We outline Adam Sørensen’s recent characterisation of stable iso-morphism of simple unital...
We define the concept of topological graph. We introduce the fundamental group pi1(E) and the univer...
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extension...
Higher-rank graphs (k-graphs) are a combinatorial model for C*-algebras; indeed, much of the structu...
AMS Subject Classication: 05C99, 13P10, 62Q05 Abstract. This paper is concerned with the topological...
Improved exposition, Appendix on "Morphisms from higher rank lattices to Out(F_N)" by Vincent Guirar...
Abstract. Using graph representations a new class of computable topologi-cal invariants associated w...
version 2: correction of typosExtending work of Hochman, we study the almost-Borel structure, i.e., ...
Let G be a finite group, and let XG = {x = (x(s,t)) Î GZ2 : x(s,t) = x(s,t-1)·x(s+1,t-1)for all (s,t...
For a finitely aligned k-graph Λ with X a set of vertices in Λ, we define a universal C*-algebra cal...
Let $A$ be an $N \times N$ irreducible matrix with entries in $\{0,1\}$. We define the topological M...
Abstract. An action of Zk is associated to a higher rank graph Λ satisfying a mild assumption. This ...
For a dynamical system arising from -action on a higher rank graph with finite vertex set, we show t...
Abstract. For a locally compact higher rank graph Λ, we construct a two-sided path space Λ ∆ with sh...
We initiate the program of extending to higher-rank graphs (k-graphs) the geometric classification o...
Abstract. We outline Adam Sørensen’s recent characterisation of stable iso-morphism of simple unital...
We define the concept of topological graph. We introduce the fundamental group pi1(E) and the univer...
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extension...
Higher-rank graphs (k-graphs) are a combinatorial model for C*-algebras; indeed, much of the structu...
AMS Subject Classication: 05C99, 13P10, 62Q05 Abstract. This paper is concerned with the topological...
Improved exposition, Appendix on "Morphisms from higher rank lattices to Out(F_N)" by Vincent Guirar...
Abstract. Using graph representations a new class of computable topologi-cal invariants associated w...
version 2: correction of typosExtending work of Hochman, we study the almost-Borel structure, i.e., ...
Let G be a finite group, and let XG = {x = (x(s,t)) Î GZ2 : x(s,t) = x(s,t-1)·x(s+1,t-1)for all (s,t...
For a finitely aligned k-graph Λ with X a set of vertices in Λ, we define a universal C*-algebra cal...
Let $A$ be an $N \times N$ irreducible matrix with entries in $\{0,1\}$. We define the topological M...