Results 21 to 30 of about 131 (55)

Classification of injective factors: The wok of Alain Connes

International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 1-39, 1983., 1983
The fundamental results of A. Connes which determine a complete set of isomorphism classes for most injective factors are discussed in detail. After some introductory remarks which lay the foundation for the subsequent discussion, an historical survey of some of the principal lines of the investigation in the classification of factors is presented ...
Steve Wright
wiley   +1 more source

On the range of completely bounded maps

International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 209-215, 1978., 1978
It is shown that if every bounded linear map from a C*‐algebra α to a von Neumann algebra β is completely bounded, then either α is finite‐dimensional or β⫅𝒞 ⊗ Mn, where 𝒞 is a commutative von Neumann algebra and Mn is the algebra of n × n complex matrices.
Richard I. Loebl
wiley   +1 more source

Weak asymptotic homomorphism property for masas in semifinite factors

, 2013
The notion of weak asymptotic homomorphism property for masas in semifinite factors is defined and is shown to be equivalent to singularity. The analysis shows that weak asymptotic homomorphism property is a ‘spectral phenomenon’.
Kunal Mukherjee
semanticscholar   +1 more source

Elementary equivalence and disintegration of tracial von Neumann algebras

Forum of Mathematics, Sigma
We prove an analog of the disintegration theorem for tracial von Neumann algebras in the setting of elementary equivalence rather than isomorphism, showing that elementary equivalence of two direct integrals of tracial factors implies fiberwise ...
David Gao, David Jekel
doaj   +1 more source

A metric space associated with probability space

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 277-282, 1993.
Keith F. Taylor, Xikui Wang
wiley   +1 more source

Nuclear JC‐algebras and tensor products of types

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 717-723, 1993.
Fatmah B. Jamjoom
wiley   +1 more source

Asymptotic freeness in tracial ultraproducts

Forum of Mathematics, Sigma
We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$ , $u_2 \in ...
Cyril Houdayer, Adrian Ioana
doaj   +1 more source

Quantum injectivity of G-frames in Hilbert spaces

Demonstratio Mathematica
Inspired by some recent work on the quantum detection problem by discrete frames and continuous frames, in this article, we examine the quantum detection problem with G-frames.
Hong Guoqing, Wan Linbin, Zhang Jianxia
doaj   +1 more source

On pairs of automorphisms of von Neumann algebras

, 1989
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 2, Page 285-290, 1989.
A. B. Thaheem
wiley   +1 more source

The Pukánszky invariant for masas in group von Neumann factors

, 2005
A. Sinclair, Roger R. Smith
semanticscholar   +1 more source