# Quantum stochastic convolution cocycles -algebraic and C*-algebraic

J. Martin Lindsay; Adam G. Skalski

Banach Center Publications (2006)

- Volume: 73, Issue: 1, page 313-324
- ISSN: 0137-6934

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topJ. 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 -