Search Results - "KATSOULIS, ELIAS G."

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  1. 1

    The Non-selfadjoint Approach to the Hao–Ng Isomorphism by Katsoulis, Elias G, Ramsey, Christopher

    Published in International mathematics research notices (01-01-2021)
    “…Abstract In an earlier work, the authors proposed a non-selfadjoint approach to the Hao–Ng isomorphism problem for the full crossed product, depending on the…”
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  2. 2

    Stable Isomorphisms of Operator Algebras by Kakariadis, Evgenios T A, Katsoulis, Elias G, Li, Xin

    Published in International mathematics research notices (07-03-2024)
    “…Abstract Let ${{\mathcal{A}}}$ and ${{\mathcal{B}}}$ be operator algebras with $c_{0}$-isomorphic diagonals and let ${{\mathcal{K}}}$ denote the compact…”
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  3. 3

    The isomorphism problem for tensor algebras of multivariable dynamical systems by Katsoulis, Elias G., Ramsey, Christopher

    Published in Forum of mathematics. Sigma (01-01-2022)
    “…We resolve the isomorphism problem for tensor algebras of unital multivariable dynamical systems. Specifically, we show that unitary equivalence after a…”
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  4. 4

    Local maps and the representation theory of operator algebras by 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…”
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  5. 5

    Morita equivalence of C-correspondences passes to the related operator algebras by Eleftherakis, George K., Kakariadis, Evgenios T.A., Katsoulis, Elias G.

    Published in Israel journal of mathematics (2017)
    “…We revisit a central result of Muhly and Solel on operator algebras of C*-correspondences. We prove that (possibly non-injective) strongly Morita equivalent…”
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  6. 6

    Semicrossed products of the disk algebra by DAVIDSON, KENNETH R., KATSOULIS, ELIAS G.

    “…If α is the endomorphism of the disk algebra, A(𝔻), induced by composition with a finite Blaschke product b, then the semicrossed product A(𝔻) × α ℤ⁺ imbeds…”
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    Fell’s absorption principle for semigroup operator algebras by Katsoulis, Elias G.

    Published in Journal of noncommutative geometry (05-04-2024)
    “…Fell’s absorption principle states that the left regular representation of a group absorbs any unitary representation of the group when tensored with it. In a…”
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    Limit algebras and integer‐valued cocycles, revisited by Katsoulis, Elias G., Ramsey, Christopher

    Published in Journal of the London Mathematical Society (01-12-2016)
    “…A triangular limit algebra A is isometrically isomorphic to the tensor algebra of a C*‐correspondence if and only if its fundamental relation R(A) is a tree…”
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  13. 13

    Boundary quotient C‐algebras of semigroups by Kakariadis, Evgenios T. A., Katsoulis, Elias G., Laca, Marcelo, Li, Xin

    Published in Journal of the London Mathematical Society (01-06-2022)
    “…We study two classes of operator algebras associated with a unital subsemigroup P$P$ of a discrete group G$G$: one related to universal structures and one…”
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  14. 14

    C⁎-algebras and equivalences for C⁎-correspondences by Kakariadis, Evgenios T.A., Katsoulis, Elias G.

    Published in Journal of functional analysis (15-01-2014)
    “…We study several notions of shift equivalence for C⁎-correspondences and the effect that these equivalences have on the corresponding Pimsner dilations. Among…”
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  15. 15

    CONTRIBUTIONS TO THE THEORY OF C-CORRESPONDENCES WITH APPLICATIONS TO MULTIVARIABLE DYNAMICS by KAKARIADIS, EVGENIOS T. A., KATSOULIS, ELIAS G.

    “…Motivated by the theory of tensor algebras and multivariable C*-dynamics, we revisit two fundamental techniques in the theory of C*-correspondences, the…”
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  16. 16

    Semicrossed products of operator algebras and their C⁎-envelopes by Kakariadis, Evgenios T.A., Katsoulis, Elias G.

    Published in Journal of functional analysis (01-04-2012)
    “…Let A be a unital operator algebra and let α be an automorphism of A that extends to a ⁎-automorphism of its C⁎-envelope Cenv⁎(A). We introduce the isometric…”
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  17. 17

    Dilating covariant representations of the non-commutative disc algebras by Davidson, Kenneth R., Katsoulis, Elias G.

    Published in Journal of functional analysis (01-08-2010)
    “…Let φ be an isometric automorphism of the non-commutative disc algebra A n for n ⩾ 2 . We show that every contractive covariant representation of ( A n , φ )…”
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  18. 18

    Dilation theory, commutant lifting and semicrossed products by Davidson, K.R., Katsoulis, E.G.

    “…We take a new look at dilation theory for nonself-adjoint operator algebras. Among the extremal (co)extensions of a representation, there is a special property…”
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  19. 19

    Semicrossed products of simple C-algebras by Davidson, Kenneth R., Katsoulis, Elias G.

    Published in Mathematische annalen (01-11-2008)
    “…Let and be C*-dynamical systems and assume that is a separable simple C*-algebra and that α and β are *-automorphisms. Then the semicrossed products and are…”
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    Extreme points in triangular UHF algebras by Hudson, Timothy D., Katsoulis, Elias G., Larson, David R.

    “…We examine the strongly extreme point structure of the unit balls of triangular UHF algebras. The semisimple triangular UHF algebras are characterized as those…”
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