Search Results - "KATSOULIS, ELIAS G."
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The Non-selfadjoint Approach to the Hao–Ng Isomorphism
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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Stable Isomorphisms of Operator Algebras
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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The isomorphism problem for tensor algebras of multivariable dynamical systems
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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Local maps and the representation theory of operator algebras
Published in Transactions of the American Mathematical Society (01-08-2016)“…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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Morita equivalence of C-correspondences passes to the related operator algebras
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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Semicrossed products of the disk algebra
Published in Proceedings of the American Mathematical Society (01-10-2012)“…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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Contributions to the theory of \mathrm{C}^-correspondences with applications to multivariable dynamics
Published in Transactions of the American Mathematical Society (01-12-2012)Get full text
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Morita equivalence of C-correspondences passes to the related operator algebras
Published in Israel journal of mathematics (01-10-2017)Get full text
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9
Fell’s absorption principle for semigroup operator algebras
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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Corrigendum: “C-algebras and equivalences for C-correspondences” [J. Funct. Anal. 266 (2014) 956–988]
Published in Journal of functional analysis (15-09-2022)Get full text
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Geometry of the unit ball and representation theory for operator algebras
Published in Pacific journal of mathematics (01-10-2004)Get full text
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12
Limit algebras and integer‐valued cocycles, revisited
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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Boundary quotient C‐algebras of semigroups
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
C⁎-algebras and equivalences for C⁎-correspondences
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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CONTRIBUTIONS TO THE THEORY OF C-CORRESPONDENCES WITH APPLICATIONS TO MULTIVARIABLE DYNAMICS
Published in Transactions of the American Mathematical Society (01-12-2012)“…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
Semicrossed products of operator algebras and their C⁎-envelopes
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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Dilating covariant representations of the non-commutative disc algebras
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
Dilation theory, commutant lifting and semicrossed products
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2011)“…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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Semicrossed products of simple C-algebras
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
Published in Transactions of the American Mathematical Society (01-08-1997)“…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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