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Stopping the CCR flow and its isometric cocycles

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Stopping the CCR flow and its isometric cocycles. / Belton, Alexander C. R.; Sinha, Kalyan B.

In: The Quarterly Journal of Mathematics, Vol. 65, No. 4, 2014, p. 1145-1164.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Belton, ACR & Sinha, KB 2014, 'Stopping the CCR flow and its isometric cocycles', The Quarterly Journal of Mathematics, vol. 65, no. 4, pp. 1145-1164. https://doi.org/10.1093/qmath/hat062

APA

Belton, A. C. R., & Sinha, K. B. (2014). Stopping the CCR flow and its isometric cocycles. The Quarterly Journal of Mathematics, 65(4), 1145-1164. https://doi.org/10.1093/qmath/hat062

Vancouver

Belton ACR, Sinha KB. Stopping the CCR flow and its isometric cocycles. The Quarterly Journal of Mathematics. 2014;65(4):1145-1164. Epub 2014 Feb 5. doi: 10.1093/qmath/hat062

Author

Belton, Alexander C. R. ; Sinha, Kalyan B. / Stopping the CCR flow and its isometric cocycles. In: The Quarterly Journal of Mathematics. 2014 ; Vol. 65, No. 4. pp. 1145-1164.

Bibtex

@article{c47615cdd9994c93953f650f70353952,
title = "Stopping the CCR flow and its isometric cocycles",
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.",
author = "Belton, {Alexander C. R.} and Sinha, {Kalyan B.}",
year = "2014",
doi = "10.1093/qmath/hat062",
language = "English",
volume = "65",
pages = "1145--1164",
journal = "The Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
number = "4",

}

RIS

TY - JOUR

T1 - Stopping the CCR flow and its isometric cocycles

AU - Belton, Alexander C. R.

AU - Sinha, Kalyan B.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

U2 - 10.1093/qmath/hat062

DO - 10.1093/qmath/hat062

M3 - Journal article

VL - 65

SP - 1145

EP - 1164

JO - The Quarterly Journal of Mathematics

JF - The Quarterly Journal of Mathematics

SN - 0033-5606

IS - 4

ER -