Factorization and Dilation Problems for Completely Positive Maps on von Neumann Algebras

We study factorization and dilation properties of Markov maps between von Neumann algebras equipped with normal faithful states, i.e., completely positive unital maps which preserve the given states and also intertwine their automorphism groups. The starting point for our investigation has been the...

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Bibliographic Details
Published in:	Communications in mathematical physics Vol. 303; no. 2; pp. 555 - 594
Main Authors:	Haagerup, Uffe, Musat, Magdalena
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.04.2011 Springer
Subjects:	Classical and Quantum Gravitation Complex Systems Exact sciences and technology Functional analysis Group theory Group theory and generalizations Mathematical analysis Mathematical and Computational Physics Mathematical methods in physics Mathematical Physics Mathematics Operator theory Other topics in mathematical methods in physics Physics Physics and Astronomy Quantum Physics Relativity Theory Sciences and techniques of general use Theoretical Embedding Problem Asymptotic Quantum Normal Faithful State Noncommutative Setting Tracial State Lower bound Semigroup Quantum information Asymptotic approximation Mathematical physics Quantum theory Information theory
ISSN:	0010-3616, 1432-0916
Online Access:	Get full text
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