Quantum stochastic convolution cocycles -algebraic and C*-algebraic

J. Martin Lindsay, and Adam G. Skalski. "Quantum stochastic convolution cocycles -algebraic and C*-algebraic." Banach Center Publications 73.1 (2006): 313-324. <http://eudml.org/doc/282485>.

@article{J2006,
abstract = {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.},
author = {J. Martin Lindsay, Adam G. Skalski},
journal = {Banach Center Publications},
keywords = {stochastic cocycle; quantum group; noncommutative probability; quantum stochastic; Lévy process; bialgebra},
language = {eng},
number = {1},
pages = {313-324},
title = {Quantum stochastic convolution cocycles -algebraic and C*-algebraic},
url = {http://eudml.org/doc/282485},
volume = {73},
year = {2006},
}

TY - JOUR
AU - J. Martin Lindsay
AU - Adam G. Skalski
TI - Quantum stochastic convolution cocycles -algebraic and C*-algebraic
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 313
EP - 324
AB - 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.
LA - eng
KW - stochastic cocycle; quantum group; noncommutative probability; quantum stochastic; Lévy process; bialgebra
UR - http://eudml.org/doc/282485
ER -