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