| Title | From dynamical systems to commutativity in non-commutative operator algebras |
| Authors | Tomas Persson, Sergei Silvestrov |
| Publication | Series: Mathematical Modelling in Physics, Engineering and Cognitive Science. |
| Year | 2003 |
| Volume | 6 |
| Pages | 109 - 143 |
| Document type | Conference paper |
| Conference name | Workshop Dynamical Systems from Number Theory to Probability 2 |
| Conference Date | 2002-12-06 |
| Conference Location | Växjö University, Växjö, Sweden |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Växjö University Press |
| Abstract English | This article is devoted to investigation of connection of operator representations of commutation relations<br> 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 <br> beta-shift dynamical system. |
| ISBN/ISSN/Other | ISSN: 1651-0267 ISBN: 91-7636-386-4 |
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