Search Results - "Sasyk, Román"

Effective Hilbert’s irreducibility theorem for global fields by Paredes, Marcelo, Sasyk, Román

“…We prove an effective form of Hilbert’s irreducibility theorem for polynomials over a global field K . More precisely, we give effective bounds for the number…”
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Metric approximations of unrestricted wreath products when the acting group is amenable by Brude, Javier, Sasyk, Román

“…We give a simple and unified proof showing that the unrestricted wreath product of a weakly sofic, sofic, linear sofic, or hyperlinear group by an amenable…”
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Turbulence and Araki–Woods factors by Sasyk, Román, Törnquist, Asger

“…Using Baire category techniques we prove that Araki–Woods factors are not classifiable by countable structures. As a result, we obtain a far reaching…”
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Permanence properties of verbal products and verbal wreath products of groups by Brude, Javier, Sasyk, Román

“…By means of analyzing the notion of verbal products of groups, we show that soficity, hyperlinearity, amenability, the Haagerup property, the Kazhdan property…”
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Borel Reducibility and Classification of Von Neumann Algebras by Sasyk, Román, Törnquist, Asger

“…We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel…”
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The classification problem for von Neumann factors by Sasyk, Roman, Törnquist, Asger

“…We prove that it is not possible to classify separable von Neumann factors of types II 1 , II ∞ or III λ , 0 ⩽ λ ⩽ 1 , up to isomorphism by a Borel measurable…”
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Borel Reductibility and Classification of von Neumann Algebras by Sasyk, Román, Törnquist, Asger

“…We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel…”
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A note on the classification of Gamma factors by Sasyk, Román

“…Rev. Un. Mat. Argentina 57 (2016), no. 1, 1--7 One of the earliest invariants introduced in the study of finite von Neumann algebras is the property Gamma of…”
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Permanence properties of verbal products and verbal wreath products of groups by Brude, Javier, Sasyk, Román

“…Groups Geom. Dyn. 16 (2022), no. 2, pp. 363-401 By means of analyzing the notion of verbal products of groups, we show that soficity, hyperlinearity,…”
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Effective Hilbert's Irreducibility Theorem for global fields by Paredes, Marcelo, Sasyk, Román

“…We prove an effective form of Hilbert's irreducibility theorem for polynomials over a global field $K$. More precisely, we give effective bounds for the number…”
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Uniform bounds for the number of rational points on varieties over global fields by Paredes, Marcelo, Sasyk, Román

“…Algebra and Number Theory, Vol. 16 2022, No. 8, 1941-2000 We extend the work of Salberger; Walsh; Castryck, Cluckers, Dittmann and Nguyen; and Vermeulen to…”
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Metric approximations of unrestricted wreath products when the acting group is amenable by Brude, Javier, Sasyk, Román

“…Comm. Algebra 50 (2022), no. 3, 949--961 We give a simple and unified proof showing that the unrestricted wreath product of a weakly sofic, sofic, linear…”
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The inverse sieve problem for algebraic varieties over global fields by Menconi, Juan Manuel, Paredes, Marcelo, Sasyk, Román

“…Rev. Mat. Iberoam. 37 (2021), 2245-2284 Let $K$ be a global field and let $Z$ be a geometrically irreducible algebraic variety defined over $K$. We show that…”
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Non-classification of free Araki-Woods factors and $\tau$-invariants by Sasyk, Román, Törnquist, Asger, Vaes, Stefaan

“…Groups Geom. Dyn. 13 (2019), 1219-1234 We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not…”
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Permanence properties of the second nilpotent product of groups by Sasyk, Roman

“…Bull. Belg. Math. Soc. Simon Stevin, Volume 26, Number 5 (2019), 725-742 We show that amenability, the Haagerup property, the Kazhdan's property (T) and…”
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An ultrapower construction of the multiplier algebra of a $C^{\ast}$-algebra and an application to boundary amenability of groups by Poggi, Facundo, Sasyk, Roman

“…Adv. Oper. Theory, Volume 4, Number 4 (2019), 852-864 Using ultrapowers of $C^{\ast}$-algebras we provide a new construction of the multiplier algebra of a…”
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On II 1 factors arising from 2-cocycles of w-rigid groups by Nicoara, Remus, Popa, Sorin, Sasyk, Roman

“…We consider II 1 factors L μ ( G ) arising from 2-cocyles μ ∈ H 2 ( G , T ) on groups G containing infinite normal subgroups H ⊂ G with the relative property (…”
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Turbulence and Araki-Woods factors by Sasyk, Roman, Tornquist, Asger

“…Using Baire category techniques we prove that Araki-Woods factors are not classifiable by countable structures. As a result, we obtain a far reaching…”
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Borel reducibility and classification of von Neumann algebras by Sasyk, Roman, Tornquist, Asger

“…The Bulletin of Symbolic Logic, Volume 15, Number 2, June 2009, pp. 169 - 183 We announce some new results regarding the classification problem for separable…”
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The classification problem for von Neumann factors by Sasyk, Roman, Tornquist, Asger

“…We prove that it is not possible to classify separable von Neumann factors of types $\II_1$, $\II_\infty$ or $\III_\lambda$, $0\leq \lambda\leq1$, up to…”
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