Stopping the CCR flow and its isometric cocycles
Operator Algebras
2013-03-25 v1 Functional Analysis
Probability
Abstract
It is shown how to use non-commutative stopping times in order to stop the CCR flow of arbitrary index and also its isometric cocycles, i.e., left operator Markovian cocycles on Boson Fock space. Stopping the CCR flow yields a homomorphism from the semigroup of stopping times, equipped with the convolution product, into the semigroup of unital endomorphisms of the von Neumann algebra of bounded operators on the ambient Fock space. The operators produced by stopping cocycles themselves satisfy a cocycle relation.
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Cite
@article{arxiv.1303.5545,
title = {Stopping the CCR flow and its isometric cocycles},
author = {Alexander C. R. Belton and Kalyan B. Sinha},
journal= {arXiv preprint arXiv:1303.5545},
year = {2013}
}
Comments
20 pages