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Stopping the CCR flow and its isometric cocycles

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>2014
<mark>Journal</mark>The Quarterly Journal of Mathematics
Issue number4
Number of pages20
Pages (from-to)1145-1164
Publication StatusPublished
Early online date5/02/14
<mark>Original language</mark>English


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.