5 papers · 1 filter
Applications of entropy of product systems: higher-rank graphs
Evgenios T. A. Kakariadis
We consider C*-algebras of finite higher-rank graphs along with their rotational action. We show how the entropy theory of product systems with finite frames applies to identify th…
Finite dimensional approximations for Nica-Pimsner algebras
Evgenios T. A. Kakariadis
We give necessary and sufficient conditions for nuclearity of Cuntz-Nica-Pimsner algebras for a variety of quasi-lattice ordered groups. First we deal with the free abelian lattice…
Operator algebras of higher rank numerical semigroups
Evgenios T. A. Kakariadis, Elias G. Katsoulis, Xin Li
A higher rank numerical semigroup is a positive cone whose seminormalization is isomorphic to the free abelian semigroup. The corresponding nonselfadjoint semigroup algebras are kn…
Equilibrium states and entropy theory for Nica-Pimsner algebras
Evgenios T. A. Kakariadis
We study the equilibrium simplex of Nica-Pimsner algebras arising from product systems of finite rank on the free abelian semigroup. First we show that every equilibrium state has…
Operator algebras for higher rank analysis and their application to factorial languages
Adam Dor-On, Evgenios T. A. Kakariadis
We study strong compactly aligned product systems of over a C*-algebra . We provide a description of their Cuntz-Nica-Pimsner algebra in terms of tractable rela…