Výsledky vyhledávání - $\mathrm{C}^{*}$-algebra
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The Calkin algebra, Kazhdan's property (T), and strongly self‐absorbing C∗$\mathrm{C}^$‐algebras
ISSN: 0024-6115, 1460-244XVydáno: 01.12.2023Vydáno v Proceedings of the London Mathematical Society (01.12.2023)“…It is well known that the relative commutant of every separable nuclear C∗$\mathrm{C}^*$‐subalgebra of the Calkin algebra has a unital copy of Cuntz algebra O…”
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Weighted homomorphisms between $\mathrm{C}^{}$-algebras
ISSN: 1431-0635, 1431-0643Vydáno: 05.06.2025Vydáno v Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (05.06.2025)“…We show that a bounded, linear map between \mathrm{C}^{*} -algebras is a weighted \ast -homomorphism…”
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Nuclear dimension of simple $$\mathrm {C}^$$-algebras
ISSN: 0020-9910, 1432-1297Vydáno: 01.04.2021Vydáno v Inventiones mathematicae (01.04.2021)“…We compute the nuclear dimension of separable, simple, unital, nuclear, $${\mathcal {Z}}$$ Z -stable $$\mathrm {C}^*$$ C ∗ -algebras. This makes classification accessible…”
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mathrm{C}^{}$ -algebras hereditarily containing nonzero, square-zero elements
ISSN: 0008-4395, 1496-4287Vydáno: Canada Canadian Mathematical Society 01.12.2024Vydáno v Canadian mathematical bulletin (01.12.2024)“…We introduce and study the weak Glimm property for $\mathrm{C}^{*}$ -algebras, and also a property we shall call (HS $_0…”
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RANKS OF SOFT OPERATORS IN NOWHERE SCATTERED $\mathrm {C}^$ -ALGEBRAS
ISSN: 1474-7480, 1475-3030Vydáno: Cambridge, UK Cambridge University Press 01.03.2025Vydáno v Journal of the Institute of Mathematics of Jussieu (01.03.2025)“…We show that for $\mathrm {C}^*$ -algebras with the global Glimm property, the rank of every operator can be realized as the rank of a soft operator, that is, an element whose hereditary sub- $\mathrm {C…”
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Compact quantum group structures on type-I $\mathrm{C}^$-algebras
ISSN: 1661-6952, 1661-6960Vydáno: 31.07.2023Vydáno v Journal of noncommutative geometry (31.07.2023)“…We prove a number of results having to do with equipping type-I \mathrm{C}^* -algebras with compact quantum group structures, the two main ones being that such a compact quantum group is necessarily co-amenable, and that if the \mathrm{C…”
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On the classification of simple amenable $\mathrm{C}^{}$-algebras with finite decomposition rank, II
ISSN: 1661-6952, 1661-6960Vydáno: 14.06.2024Vydáno v Journal of noncommutative geometry (14.06.2024)“…We prove that every unital simple separable \mathrm{C}^{*} -algebra A with finite decomposition rank which satisfies the UCT has the property…”
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Model Theory of $ Mathrm {C}^$-Algebras
ISBN: 1470447576, 9781470447571Vydáno: Providence American Mathematical Society 2021Získat plný text
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(\mathrm{C}^{}\)-algebras hereditarily containing nonzero, square-zero elements
ISSN: 0008-4395Vydáno: Montreal Cambridge University Press 01.12.2024Vydáno v Canadian mathematical bulletin (01.12.2024)“…We introduce and study the weak Glimm property for \(\mathrm{C}^{*}\)-algebras, and also a property we shall call (HS\(_0…”
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The Classification of Rokhlin Flows on $$\mathrm {C}^{}$$-algebras
ISSN: 0010-3616, 1432-0916Vydáno: 01.03.2021Vydáno v Communications in mathematical physics (01.03.2021)Získat plný text
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mathrm C^$-algebras of Boolean inverse monoids – traces and invariant means
ISSN: 1431-0635, 1431-0643“…To a Boolean inverse monoid S we associate a universal C*-algebra C^*_{B}(S) and show that it is equal to Exel's tight C*-algebra…”Vydáno: 2016
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Non-commutative measure theory: Henkin and analytic functionals on $$\mathrm {C}^$$-algebras
ISSN: 0025-5831, 1432-1807Vydáno: 01.06.2023Vydáno v Mathematische annalen (01.06.2023)Získat plný text
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Quantum $\mathrm{SU}(3)$ as the $C^{}$-algebra of a $2$-graph
ISSN: 1661-6952, 1661-6960Vydáno: 19.02.2025Vydáno v Journal of noncommutative geometry (19.02.2025)“…We show that, for q\in(0,1) , the C^{*} -algebra \mathrm{SU}_{q}(3) is isomorphic to a rank 2 graph C^{*} -algebra…”
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mathrm{C^} -algebras, groupoids and covers of shift spaces
ISSN: 2330-0000Vydáno: Providence, Rhode Island American Mathematical Society 30.10.2020Vydáno v Transactions of the American Mathematical Society. Series B (30.10.2020)“…To every one-sided shift space \mathsf{X} we associate a cover \widetilde{\mathsf{X}}, a groupoid \mathcal{G}_{\mathsf{X}} and a \mathrm{C}^*-algebra \mathcal{O}_{\mathsf{X}}. We characterize one-sided conjugacy, eventual conjugacy…”
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Crossed products and $\mathrm{C}^{}$-covers of semi-Dirichlet operator algebras
ISSN: 1431-0635, 1431-0643Vydáno: 16.06.2025Vydáno v Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (16.06.2025)“…In this paper, we show that the semi-Dirichlet \mathrm{C}^{*} -covers of a semi-Dirichlet operator algebra form a complete lattice, establishing that there is a maximal semi-Dirichlet \mathrm{C}^{*} -cover…”
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KMS states for generalized gauge actions on $\mathrm {C}^{\ast }$ -algebras associated with self-similar sets
ISSN: 0143-3857, 1469-4417Vydáno: Cambridge, UK Cambridge University Press 01.04.2023Vydáno v Ergodic theory and dynamical systems (01.04.2023)“… $H=\{h_{i}:K\to \mathbb {R}\}_{i=1}^{d}$ satisfying suitable conditions, we define a generalized gauge action on Kajiwara–Watatani algebras $\mathcal {O}_{\Gamma…”
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Actions of certain torsion-free elementary amenable groups on strongly self-absorbing $$\mathrm {C}^$$ C ∗ -algebras
ISSN: 0010-3616, 1432-0916Vydáno: 01.10.2019Vydáno v Communications in mathematical physics (01.10.2019)Získat plný text
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KMS states for generalized gauge actions on -algebras associated with self-similar sets
ISSN: 0143-3857, 1469-4417Vydáno: Cambridge Cambridge University Press 01.04.2023Vydáno v Ergodic theory and dynamical systems (01.04.2023)“… $H=\{h_{i}:K\to \mathbb {R}\}_{i=1}^{d}$ satisfying suitable conditions, we define a generalized gauge action on Kajiwara–Watatani algebras $\mathcal {O}_{\Gamma…”
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Relative commutants of strongly self-absorbing $$\mathrm {C}^$$ C ∗ -algebras
ISSN: 1022-1824, 1420-9020Vydáno: 01.01.2017Vydáno v Selecta mathematica (Basel, Switzerland) (01.01.2017)Získat plný text
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Generalized asymptotic algebras and \(\mathrm{E}\)-theory for non-separable \(\mathrm{C}^\)-algebras
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 14.12.2022Vydáno v arXiv.org (14.12.2022)“…In previous definition of \(\mathrm{E}\)-theory, separability of the \(\mathrm{C}^*\)-algebras is needed either to construct the composition product or to prove the long exact sequences…”
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