2 citations · 3 across the 2 of their papers we have counts for
7 papers
KMS states on C*-algebras associated to expansive maps
Alex Kumjian, Jean Renault
Using Walters' version of the Ruelle-Perron-Frobenius Theorem we show the existence and uniqueness of KMS states for a certain one-parameter group of automorphisms on a C*-algebra…
Symmetries of Kirchberg algebras
David J. Benson, Alex Kumjian, N. Christopher Phillips
Let A be a separable unital nuclear purely infinite simple C*-algebra satisfying the Universal Coefficient Theorem, and such that the K_0-class of the identity is zero. We prove th…
Actions of associated to higher rnak graphs
Alex Kumjian, David Pask
An action of is associated to a higher rank graph satisfying a mild assumption. This generalises the construction of a topological Markov shift arising from a n…
On certain Cuntz-Pimsner algebras
Alex Kumjian
Let be a separable unital C*-algebra and let $π: A \ra \Lc(\Hf)$ be a faithful representation of on a separable Hilbert space $\Hf$ such that $π(A) \cap \Kc(\Hf) = \{0 \}$.…
Higher rank graph C*-algebras
Alex Kumjian, David Pask
Building on recent work of Robertson and Steger, we associate a C*-algebra to a combinatorial object which may be thought of as a higher rank graph. This C*-algebra is shown to be…
Cohomology of topological graphs and Cuntz-Pimsner algebras
V. Deaconu, A. Kumjian, P. Muhly
We compute the sheaf cohomology of a groupoid built from a local homeomorphism of a locally compact space . In particular, we identify the twists over this groupoid, and its Bra…