TY - JOUR

T1 - The cocycle identity holds under stopping

AU - Belton, Alexander C. R.

AU - Sinha, Kalyan B.

N1 - 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

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

U2 - 10.1093/qmath/hax003

DO - 10.1093/qmath/hax003

M3 - Journal article

VL - 68

SP - 817

EP - 830

JO - The Quarterly Journal of Mathematics

JF - The Quarterly Journal of Mathematics

SN - 0033-5606

IS - 3

ER -