From dynamical systems to commutativity in non-commutative operator algebras

Tomas Persson, Sergei Silvestrov

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

This article is devoted to investigation of connection of operator representations of commutation relations
XX*=F(X*X) and AB = BF(A) to periodic points and orbits of the dynamical system generated by the function F. Conditions on the general function F for two monomials in operators A and B to commute are derived. These conditions are further studied for dynamical systems generated by affine and q-deformed power functions, and for the
beta-shift dynamical system.
Original languageEnglish
Title of host publicationSeries: Mathematical Modelling in Physics, Engineering and Cognitive Science.
EditorsAndrei Khrennikov
PublisherVäxjö University Press
Pages109-143
Number of pages35
Volume6
ISBN (Print)91-7636-386-4
Publication statusPublished - 2003
EventWorkshop Dynamical Systems from Number Theory to Probability 2 - Växjö University, Växjö, Sweden
Duration: 2002 Dec 6 → …

Publication series

Name
Volume6
ISSN (Print)1651-0267

Conference

ConferenceWorkshop Dynamical Systems from Number Theory to Probability 2
Country/TerritorySweden
CityVäxjö University, Växjö
Period2002/12/06 → …

Subject classification (UKÄ)

  • Mathematics

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