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21 papers · 1 filter
On Toeplitz algebras of product systems
Elias G. Katsoulis, Marcelo Laca, Camila F. Sehnem
In the setting of product systems over group-embeddable monoids, we consider nuclearity of the associated Toeplitz C*-algebra in relation to nuclearity of the coefficient algebra.…
Co-universality and controlled maps on product systems over right LCM-semigroups
Evgenios T. A. Kakariadis, Elias G. Katsoulis, Marcelo Laca +1
We study the structure of C*-algebras associated with compactly aligned product systems over group embeddable right LCM-semigroups. Towards this end we employ controlled maps and a…
Boundary quotient C*-algebras of semigroups
Evgenios T. A. Kakariadis, Elias G. Katsoulis, Marcelo Laca +1
We study two classes of operator algebras associated with a unital subsemigroup of a discrete group : one related to universal structures, and one related to co-universal st…
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…
Morita equivalence of C*-correspondences passes to the related operator algebras
George K. Eleftherakis, Evgenios T. A. Kakariadis, Elias G. Katsoulis
We revisit a central result of Muhly and Solel on operator algebras of C*-correspondences. We prove that (possibly non-injective) strongly Morita equivalent C*-correspondences have…
Non selfadjoint operator algebras: dynamics, classification and C*-envelopes
Elias G. Katsoulis
This paper is an expanded version of the lectures I delivered at the Indian Statistical Institute, Bangalore, during the OTOA 2014 conference.