Quantum stochastic convolution cocycles -algebraic and C*-algebraic

• Autorzy: J. Martin Lindsay , Adam G. Skalski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 81S25: Quantum stochastic calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 313-324

Daty

wydano

2006

Twórcy

autor

J. Martin Lindsay

• Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, U.K.

autor

Adam G. Skalski

• Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, U.K.

Identyfikatory

DOI

10.4064/bc73-0-24