We summarise recent results concerning quantum stochastic convolution cocycles in two contexts-purely algebraic and C*-algebraic. In each case the class of cocycles arising as the solution of a quantum stochastic differential equation is characterised and the form taken by the stochastic generator of a *-homomorphic cocycle is described. Throughout the paper a common viewpoint on the algebraic and C*-algebraic situations is emphasised; the final section treats the unifying example of convolution cocycles on full compact quantum groups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-24,
author = {J. Martin Lindsay and Adam G. Skalski},
title = {Quantum stochastic convolution cocycles -algebraic and C*-algebraic},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {313-324},
zbl = {1103.81028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-24}
}
J. Martin Lindsay; Adam G. Skalski. Quantum stochastic convolution cocycles -algebraic and C*-algebraic. Banach Center Publications, Tome 72 (2006) pp. 313-324. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-24/