Results 31 to 40 of about 3,060 (235)

On the Tensor Products of Maximal Abelian JW-Algebras

International Journal of Mathematics and Mathematical Sciences, 2009
It is well known in the work of Kadison and Ringrose (1983)that if 𝐴 and 𝐵 are maximal abelian von Neumann subalgebras of von Neumann algebras 𝑀 and 𝑁, respectively, then 𝐴⊗𝐵 is a maximal abelian von Neumann subalgebra of 𝑀⊗𝑁.
F. B. H. Jamjoom
doaj   +1 more source

Unordered Tuples in Quantum Computation [PDF]

Electronic Proceedings in Theoretical Computer Science, 2015
It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Robert Furber, Bas Westerbaan
doaj   +1 more source

Injective von Neumann algebras [PDF]

Proceedings of the American Mathematical Society, 1974
Injective von Neumann algebras are defined, and a characterization of them as complemented subspaces of L (
openaire   +1 more source

Von Neumann algebra invariants of Dirac operators [PDF]

, 1998
In this paper we define and study certain von Neumann algebra invariants associated to the Dirac operator acting onL2spinors on the universal covering space of a compact, Riemannian spin manifold.
Varghese, M., Mathai, Varghese
core   +1 more source

Orlicz spaces associated with a semi-finite von Neumann algebra [PDF]

, 2012
summary:Let $M$ be a von Neumann algebra, let $\varphi$ be a weight on $M$ and let $\Phi$ be $N$-function satisfying the $(\delta_{2}, \Delta_{2})$-condition. In this paper we study Orlicz spaces, associated with $M$, $\varphi$ and $\Phi $
Abdullaev, R. Z., Chilin, V. I., Ayupov, Sh. A.   +2 more
core   +1 more source

von Neumann regular modules [PDF]

, 2018
In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules. Further, we investigate the relations between von Neumann regular modules and other classical modules.
TEKİR, ÜNSAL
core   +2 more sources

Geometric phases characterise operator algebras and missing information

Journal of High Energy Physics, 2023
We show how geometric phases may be used to fully describe quantum systems, with or without gravity, by providing knowledge about the geometry and topology of its Hilbert space. We find a direct relation between geometric phases and von Neumann algebras.
Souvik Banerjee, Moritz Dorband, Johanna Erdmenger, Anna-Lena Weigel   +3 more
doaj   +1 more source

Perturbations of C*-algebraic invariants [PDF]

, 2010
Kadison and Kastler introduced a metric on the set of all C*-algebras on a fixed Hilbert space. In this paper structural properties of C*-algebras which are close in this metric are examined.
White, Stuart, Smith, Roger R., Sinclair, A., Smith, R.R., Roger R. Smith, White, S., Erik Christensen, Christensen, E., Christensen, Erik, Sinclair, Allan M., Allan Sinclair, Stuart White   +11 more
core   +1 more source

Algebra of operators in an AdS-Rindler wedge

Journal of High Energy Physics, 2023
We discuss the algebra of operators in AdS-Rindler wedge, particularly in AdS5/CFT4. We explicitly construct the algebra at N = ∞ limit and discuss its Type III1 nature.
Eyoab Bahiru
doaj   +1 more source

Semisimplicity and global dimension of a finite von Neumann algebra [PDF]

, 2007
summary:We prove that a finite von Neumann algebra ${\mathcal{A}}$ is semisimple if the algebra of affiliated operators ${\mathcal{U}}$ of ${\mathcal{A}}$ is semisimple.
Vaš, Lia
core   +1 more source