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Abstract

The method of Feynman–Kac perturbation of quantum stochastic processes has a long pedigree, with the theory usually developed within the framework of processes on von Neumann algebras. In this work, the theory of operator spaces is exploited to enable a broadening of the scope to flows on C∗ algebras. Although the hypotheses that need to be verified in this general setting may seem numerous, we provide auxiliary results that enable this to be simplified in many of the cases which arise in practice. A wide variety of examples is provided by way of illustration.

Publication Date

2024-07-06

Publication Title

Indian Journal of Pure and Applied Mathematics

Volume

55

Issue

3

ISSN

0019-5588

Keywords

Flows on universalC* algebras, Markovian cocycle, Multiplier equation, Quantum exclusion process, Quantum stochastic differential equation

First Page

1062

Last Page

1083

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10.1007/s13226-024-00648-7" data-hide-no-mentions="true">

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