Skip to main content Accessibility help
×
Home

Generators of quantum stochastic flows and cyclic cohomology

  • PAULA BEAZLEY COHEN (a1) and R. L. HUDSON (a2)

Abstract

This paper relates cyclic cohomology, as obtained from traces with suitable domains on free product algebras, to the construction, by using the quantum stochastic calculus of Hudson and Parthasarathy, of quantum (stochastic) flows. As an application of the methods of the present article, we show how the characters of finitely summable Fredholm modules, as constructed by Connes, can be recovered from quantum flows in both the specialisation to the pure gauge and to the Brownian case. We also relate the regularized trace of Connes, used in the construction of these characters, to Lindblad generators.

Copyright

Footnotes

Hide All
This work was in part supported by EU HCM, contract CHRX-CT93-OD94. The first author (PBC) was also supported by the Institute for Advanced Study, Princeton, New Jersey, USA, NSF grant number DMS 9304580, by the Centre National de Recherche Scientifique, Lille, France and by the Max-Planck-Institut für Mathematik, Bonn, Germany.

Footnotes

Generators of quantum stochastic flows and cyclic cohomology

  • PAULA BEAZLEY COHEN (a1) and R. L. HUDSON (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed