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of 95
pro vyhledávání: '"Katsoulis, Elias G."'
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. Our work goes beyond the known cases of single correspondences and com
Externí odkaz:
http://arxiv.org/abs/2409.12458
In this paper, we show that the semi-Dirichlet C*-covers of a semi-Dirichlet operator algebra form a complete lattice, establishing that there is a maximal semi-Dirichlet C*-cover. Given an operator algebra dynamical system we prove a dilation theory
Externí odkaz:
http://arxiv.org/abs/2309.16130
Publikováno v:
Analysis & PDE 16 (2023) 1433-1483
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 controlled elimination method that associates the original cores to t
Externí odkaz:
http://arxiv.org/abs/2108.07494
We study two classes of operator algebras associated with a unital subsemigroup $P$ of a discrete group $G$: one related to universal structures, and one related to co-universal structures. First we provide connections between universal C*-algebras t
Externí odkaz:
http://arxiv.org/abs/2105.00422
A cosystem consists of a possibly nonselfadoint operator algebra equipped with a coaction by a discrete group. We introduce the concept of C*-envelope for a cosystem; roughly speaking, this is the smallest C*-algebraic cosystem that contains an equiv
Externí odkaz:
http://arxiv.org/abs/2012.12435
A higher rank numerical semigroup is a positive cone whose seminormalization is isomorphic to the free abelian semigroup. The corresponding nonselfadjoint semigroup algebras are known to provide examples that answer Arveson's Dilation Problem to the
Externí odkaz:
http://arxiv.org/abs/1902.03599
Publikováno v:
Israel Journal of Mathematics 222 (2017), no.2, 949-972
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 strongly Morita equivalent relative Cuntz-Pimsner C*-algebras. The sa
Externí odkaz:
http://arxiv.org/abs/1611.04169
Autor:
Katsoulis, Elias G.
Using non-selfadjoint techniques, we establish the Hao-Ng isomorphism for the reduced crossed product and all discrete groups. For the full crossed product an analogous result holds for all discrete groups but the C*-correspondences involved have to
Externí odkaz:
http://arxiv.org/abs/1606.01513
Autor:
Katsoulis, Elias G.
This paper is an expanded version of the lectures I delivered at the Indian Statistical Institute, Bangalore, during the OTOA 2014 conference.
Comment: Expository article, 56 pages, comments welcome. Many clarifications and corrections in Sectio
Comment: Expository article, 56 pages, comments welcome. Many clarifications and corrections in Sectio
Externí odkaz:
http://arxiv.org/abs/1602.02731
Autor:
Katsoulis, Elias G.
Using representation theory techniques we prove that various spaces of derivations or one-sided multipliers over certain operator algebras are reflexive. A sample result: any bounded local derivation (local left multiplier) on an automorphic semicros
Externí odkaz:
http://arxiv.org/abs/1502.00591