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    Rights statement: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in The Quarterly Journal of Mathematics following peer review. The definitive publisher-authenticated version Alexander C. R. Belton, Kalyan B. Sinha; The cocycle identity holds under Stopping, The Quarterly Journal of Mathematics, Volume 68, Issue 3, 1 September 2017, Pages 817–830, https://doi.org/10.1093/qmath/hax003 is available online at: https://academic.oup.com/qjmath/article/68/3/817/2979261/The-cocycle-identity-holds-under-Stopping

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The cocycle identity holds under stopping

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

Published
<mark>Journal publication date</mark>1/09/2017
<mark>Journal</mark>The Quarterly Journal of Mathematics
Issue number3
Volume68
Number of pages14
Pages (from-to)817-830
Publication StatusPublished
Early online date9/02/17
<mark>Original language</mark>English

Abstract

In recent work of the authors, it was shown how to use any finite quantum stop time to stop the CCR flow and its strongly continuous isometric cocycles (Q. J. Math. 65:1145–1164, 2014). The stopped cocycle was shown to satisfy a stopped form of the cocycle identity, valid for deterministic increments of the time used for stopping. Here, a generalization of this identity is obtained, where both cocycle parameters are replaced with finite quantum stop times.

Bibliographic note

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in The Quarterly Journal of Mathematics following peer review. The definitive publisher-authenticated version Alexander C. R. Belton, Kalyan B. Sinha; The cocycle identity holds under Stopping, The Quarterly Journal of Mathematics, Volume 68, Issue 3, 1 September 2017, Pages 817–830, https://doi.org/10.1093/qmath/hax003 is available online at: https://academic.oup.com/qjmath/article/68/3/817/2979261/The-cocycle-identity-holds-under-Stopping