Výsledky vyhledávání - "Haagerup, U."

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Computational explorations of the Thompson group T for the amenability problem of F

Autor: Haagerup, S., Haagerup, U., Ramirez-Solano, M.

It is a long standing open problem whether the Thompson group $F$ is an amenable group. In this paper we show that if $A$, $B$, $C$ denote the standard generators of Thompson group $T$ and $D:=C B A^{-1}$ then $$\sqrt2+\sqrt3\,<\,\frac1{\sqrt{12}}||(

Externí odkaz: http://arxiv.org/abs/1705.00198

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A computational approach to the Thompson group $F$

Autor: Haagerup, S., Haagerup, U., Ramirez-Solano, M.

Let $F$ denote the Thompson group with standard generators $A=x_0$, $B=x_1$. It is a long standing open problem whether $F$ is an amenable group. By a result of Kesten from 1959, amenability of $F$ is equivalent to $$(i)\qquad ||I+A+B||=3$$ and to $$

Externí odkaz: http://arxiv.org/abs/1409.1486

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Moment Formulas For The Quasi-Nilpotent DT-Operator

Autor: Aagaard, L., Haagerup, U.

Let T be the quasi-nilpotent DT-operator. By use of Voiculescu's amalgamated R-transform we compute the moments of $(T-\lambda 1)^*(T-\lambda 1)$, where $\lambda \in \mathbb C$, and the Brown-measure of $T+\sqrt{\epsilon} Y$, where Y is a circular el

Externí odkaz: http://arxiv.org/abs/math/0406170

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Banach embedding properties of non-commutative L^p-spaces

Autor: Haagerup, U., Rosenthal, H. P., Sukochev, F. A.

Let N and M be von Neumann algebras. It is proved that L^p(N) does not Banach embed in L^p(M) for N infinite, M finite, 1 < or = p < 2. The following considerably stronger result is obtained (which implies this, since the Schatten p-class C_p embeds

Externí odkaz: http://arxiv.org/abs/math/0005150

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Exotic subfactors of finite depth with Jones indices (5+sqrt{13})/2 and (5+sqrt{17})/2

Autor: Asaeda, M., Haagerup, U.

Publikováno v: Commun.Math.Phys. 202, 1-63 (1999)

We prove existence of subfactors of finite depth of the hyperfinite II_1 factor with indices (5+sqrt{13})/2= 4.302... and (5+sqrt{17})/2=4.561.... The existence of the former was announced by the second named author in 1993 and that of the latter has

Externí odkaz: http://arxiv.org/abs/math/9803044

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Bounded linear operators between C^*-algebras

Autor: Haagerup, U., Pisier, Gilles

Let $u:A\to B$ be a bounded linear operator between two $C^*$-algebras $A,B$. The following result was proved by the second author. Theorem 0.1. There is a numerical constant $K_1$ such that for all finite sequences $x_1,\ldots, x_n$ in $A$ we have $

Externí odkaz: http://arxiv.org/abs/math/9302214

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On the uniqueness of the injective III1 factor

Autor: Haagerup, U.

Publikováno v: Haagerup, U 2016, ' On the uniqueness of the injective III1 factor ', Documenta Mathematica, vol. 21, no. 2016, pp. 1193-1226 .

We give a new proof of a theorem due to Alain Connes, that an injective factor N of type III1 with separable predual and with trivial bicentralizer is isomorphic to the Araki-Woods type III1 factor R∞. This, combined with the author's solution to t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3062::d80920453d22c30596d680cfe36abfd7
https://findresearcher.sdu.dk:8443/ws/files/124239310/On_the_Uniqueness_of_the_Injective_III1_Factor.pdf

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A new look at C∗-simplicity and the unique trace property of a group

Autor: Haagerup, U.

Publikováno v: Haagerup, U 2016, A new look at C ∗-simplicity and the unique trace property of a group . in T M Carlsen, N S Larsen, S Neshveyev & C Skau (eds), Operator Algebras and Applications : The Abel Symposium 2015 . Springer, Abel Symposia, vol. 12, pp. 161-170, The Abel Symposium 2015, Coastal Express (Hurtigruten), Norway, 07/08/2015 . https://doi.org/10.1007/978-3-319-39286-8_7

We characterize when the reduced C∗-algebra of a non-trivial group has unique tracial state, respectively, is simple, in terms of Dixmier-type properties of the group C∗-algebra.We also give a simple proof of the recent result by Breuillard, Kala

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3062::49a9bb76d5b468d85554c63a089e95ae
https://portal.findresearcher.sdu.dk/da/publications/0d65bc04-41fe-4f7a-9445-c4f5fef539e2

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