Homomorphic Feller cocycles on a C*-algebra

Simple item page
dc.contributor.authorLindsay, J. Martin
dc.contributor.authorWills, Stephen J.
dc.contributor.funderLloyd’s Tercentenary Research Foundation
dc.date.accessioned2023-08-02T10:58:27Z
dc.date.available2023-07-26T10:12:58Zen
dc.date.available2023-08-02T10:58:27Z
dc.date.issued2003-01
dc.date.updated2023-07-26T09:13:01Zen
dc.description.abstractWhen a Fock-adapted Feller cocycle on a C*-algebra is regular, completely positive and contractive, it possesses a stochastic generator that is necessarily completely bounded. Necessary and sufficient conditions are given, in the form of a sequence of identities, for a completely bounded map to generate a weakly multiplicative cocycle. These are derived from a product formula for iterated quantum stochastic integrals. Under two alternative assumptions, one of which covers all previously considered cases, the first identity in the sequence is shown to imply the rest.en
dc.description.sponsorshipLloyd’s Tercentenary Research Foundation (Foundation Fellowship)
dc.description.statusPeer revieweden
dc.description.versionAccepted Version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLindsay, J. M. and Wills, S. J. (2003) 'Homomorphic Feller Cocycles on a C*-Algebra', Journal of the London Mathematical Society, 68(2), pp. 255-272. doi: 10.1112/S0024610703004174
dc.identifier.doi10.1112/S0024610703004174
dc.identifier.eissn1469-7750
dc.identifier.endpage272
dc.identifier.issn0024-6107
dc.identifier.issued2
dc.identifier.journaltitleJournal of the London Mathematical Society
dc.identifier.startpage255
dc.identifier.urihttps://hdl.handle.net/10468/14783
dc.identifier.volume68
dc.language.isoenen
dc.publisherJohn Wiley & Sons, Inc.
dc.rights© 2003, London Mathematical Society. Published by John Wiley & Sons Ltd. This is the accepted version of the following item: Lindsay, J. M. and Wills, S. J. (2003) 'Homomorphic Feller Cocycles on a C*-Algebra', Journal of the London Mathematical Society, 68(2), pp. 255-272, doi: 10.1112/S0024610703004174, which has been published in final form at: https://doi.org/10.1112/S0024610703004174. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
dc.subjectNoncommutative probability
dc.subjectMarkovian cocycles
dc.subjectFeller property
dc.subjectQuantum stochastic
dc.subjectCompletely bounded
dc.subjectMatrix spaces
dc.subjectDilation
dc.titleHomomorphic Feller cocycles on a C*-algebra
dc.typeArticle (peer-reviewed)
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
JML+SJW_HomFellerCocycles.pdf
Size:
409.29 KB
Format:
Adobe Portable Document Format
Description:
Accepted Version
Download
Collections
Mathematical Sciences- Journal Articles