Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Kakariadis, Evgenios T. A."'
We provide a characterisation of equivariant Fock covariant injective representations for product systems. We show that this characterisation coincides with Nica covariance for compactly aligned product systems over right LCM semigroups of Kwa\'{s}ni
Externí odkaz:
http://arxiv.org/abs/2403.19764
We parametrise the gauge-invariant ideals of the Toeplitz-Nica-Pimsner algebra of a strong compactly aligned product system over $\mathbb{Z}_+^d$ by using $2^d$-tuples of ideals of the coefficient algebra that are invariant, partially ordered, and ma
Externí odkaz:
http://arxiv.org/abs/2310.04175
Autor:
Kakariadis, Evgenios T. A.
In this exposition we highlight product systems as the semigroup analogue of Fell bundles. Motivated by Fock creation operators we extend the definition of Fowler's product systems over unital discrete left-cancellative semigroups, via both a concret
Externí odkaz:
http://arxiv.org/abs/2110.09740
We define $\Delta$-equivalence for operator systems and show that it is identical to stable isomorphism. We define $\Delta$-contexts and bihomomorphism contexts and show that two operator systems are $\Delta$-equivalent if and only if they can be pla
Externí odkaz:
http://arxiv.org/abs/2109.12031
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
Autor:
Kakariadis, Evgenios T. A.
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 the phase transitions of the dynamics. We compute the positive inverse t
Externí odkaz:
http://arxiv.org/abs/2001.08462
Autor:
Kakariadis, Evgenios T. A.
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 case. We use this as a stepping stone to tackle product systems over
Externí odkaz:
http://arxiv.org/abs/1904.09761
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