# Von Neumann algebras associated with the group SL(â„)

## Related Articles

- Property T** for C*-algebras. Li, Dan // Acta Mathematica Sinica;Sep2012, Vol. 28 Issue 9, p1845
Extending the notion of property T of finite von Neumann algebras to general von Neumann algebras, we define and study in this paper property T** for (possibly non-unital) C*-algebras. We obtain several results of property T** parallel to those of property T for unital C*-algebras. Moreover, we...

- COMPACT DECOUPLING FOR THERMOVISCOELASTICITY IN IRREGULAR DOMAINS. AIT BEN HASSI, EL MUSTAPHA; BOUSLOUS, HAMMADI; MANIAR, LAHCEN // Electronic Journal of Differential Equations;2011, Vol. 2011, Special section p1
Our goal is to prove the compactness of the difference between the thermoviscoelasticity semigroup and its decoupled semigroup. To show this, we prove the norm continuity of this difference, the compactness of the difference of their resolvents and useTheorem 2.3. We generalize a result by Liu....

- Derivations on the Algebra of Ï„ -Compact Operators Affiliated with a Type I von Neumann Algebra. Sergio Albeverio; Shavkat Ayupov; Karimbergen Kudaybergenov // Positivity;May2008, Vol. 12 Issue 2, p375
AbstractÂ Â Let M be a type I von Neumann algebra with the center Z, and a faithful normal semi-finite trace Ï„. Consider the algebra L(M, Ï„) of all Ï„-measurable operators with respect to M and let S 0(M, Ï„) be the subalgebra of Ï„-compact operators in L(M, Ï„). We prove...

- A NOTE ON THE VON NEUMANN ALGEBRA UNDERLYING SOME UNIVERSAL COMPACT QUANTUM GROUPS. De Commer, Kenny // Banach Journal of Mathematical Analysis;2009, Vol. 3 Issue 2, p103
We show that for F âˆŠ GL(2;â„‚), the von Neumann algebra associated to the universal compact quantum group Au(F) is a free Araki-Woods factor.

- Jordan Isomorphisms on Nest Subalgebras. Yang, Aili // Advances in Mathematical Physics;4/19/2015, Vol. 2015, p1
This paper is devoted to the study of Jordan isomorphisms on nest subalgebras of factor von Neumann algebras. It is shown that every Jordan isomorphism Ï• between the two nest subalgebras algMÎ² and algMÎ³ is either an isomorphism or an anti-isomorphism.

- Geometric coupling thresholds in a two-dimensional strip. Borisov, D.; Exner, P.; Gadyl’shin, R. // Journal of Mathematical Physics;Dec2002, Vol. 43 Issue 12, p6265
We consider the Laplacian in a strip R (0,d) with the boundary condition which is Dirichlet except at the segment of a length 2a of one of the boundaries where it is switched to Neumann. This operator is known to have a non-empty and simple discrete spectrum for any a>0. There is a sequence...

- Smooth and strongly smooth points in symmetric spaces of measurable operators. Czerwińska, M.; Kamińska, A.; Kubiak, D. // Positivity;Mar2012, Vol. 16 Issue 1, p29
We investigate the relationships between smooth and strongly smooth points of the unit ball of an order continuous symmetric function space E, and of the unit ball of the space of Ï„-measurable operators $${E(\mathcal{M},\tau)}$$ associated to a semifinite von Neumann algebra $${(\mathcal{M},...

- Tensor Products of Noncommutative Lp-Spaces. Utudee, Somlak // ISRN Algebra;2012, p1
We consider the notion of tensor product of noncommutative Lp spaces associated with finite von Neumann algebras and define the notion of tensor product of Haagerup noncommutative Lp spaces associated with Ïƒ-finite von Neumann algebras.

- Consecutive Rosochatius deformations of the Neumann system. Xia, Baoqiang; Zhou, Ruguang // Journal of Mathematical Physics;Oct2013, Vol. 54 Issue 10, p103514
Consecutive Rosochatius deformations of the Neumann system are investigated. It is first shown that different realizations of a classical sl(2) Gaudin magnet model yield different integrable Hamiltonian systems. Then an algorithm of constructing infinitely many symplectic realizations of sl(2)...