Orbit Representations from Linear mod 1 Transformations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Orbit Representations from Linear mod 1 Transformations
|
|
| Creator |
Correia Ramos, C.
Martins, N. Pinto, P.R. |
|
| Description |
We show that every point x0∈[0,1] carries a representation of a C∗-algebra that encodes the orbit structure of the linear mod 1 interval map fβ,α(x)=βx+α. Such C∗-algebra is generated by partial isometries arising from the subintervals of monotonicity of the underlying map fβ,α. Then we prove that such representation is irreducible. Moreover two such of representations are unitarily equivalent if and only if the points belong to the same generalized orbit, for every α∈[0,1[ and β≥1.
|
|
| Date |
2019-02-18T13:25:02Z
2019-02-18T13:25:02Z 2012 |
|
| Type |
Article
|
|
| Identifier |
Orbit Representations from Linear mod 1 Transformations / C. Correia Ramos, N. Martins, P.R. Pinto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 17 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 46L55; 37B10; 46L05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.029 http://dspace.nbuv.gov.ua/handle/123456789/148466 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|