Journal article
Atomic representations of Cuntz algebras
Journal of mathematical analysis and applications, Vol.421(1), pp.215-243
01/01/2015
DOI: 10.1016/j.jmaa.2014.07.005
Abstract
To a representation of ON (the Cuntz algebra with N generators) we associate a projection valued measure and we study the case when this measure has atoms. The main technical tool are the spaces invariant for all the operators Si⁎. We classify the purely atomic representations and find when such representations are permutative. Applications include: wavelet representations, representations generated by finitely correlated states, representation associated to Hadamard triples (or fractal spectral measures) and representations associated to generalized Walsh bases.
Details
- Title: Subtitle
- Atomic representations of Cuntz algebras
- Creators
- Dorin Ervin Dutkay - University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., P.O. Box 161364, Orlando, FL 32816-1364, USAJohn Haussermann - University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., P.O. Box 161364, Orlando, FL 32816-1364, USAPalle E.T Jorgensen - University of Iowa, Department of Mathematics, 14 MacLean Hall, Iowa City, IA 52242-1419, USA
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.421(1), pp.215-243
- DOI
- 10.1016/j.jmaa.2014.07.005
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/100000893, name: Simons Foundation, award: 228539
- Language
- English
- Date published
- 01/01/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9983985922802771
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