Published March 2011
| Published + Submitted
Journal Article
Open
Cuntz–Krieger Algebras and Wavelets on Fractals
- Creators
-
Marcolli, Matilde
- Paolucci, Anna Maria
Abstract
We consider representations of Cuntz–Krieger algebras on the Hilbert space of square integrable functions on the limit set, identified with a Cantor set in the unit interval. We use these representations and the associated Perron–Frobenius and Ruelle operators to construct families of wavelets on these Cantor sets.
Additional Information
© 2011 Springer. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. Received: 6 August 2009; Accepted: 2 November 2009; Published online: 21 November 2009. Communicated by Palle Jorgensen. Part of this work was done during a stay of the authors at the Max Planck Institute for Mathematics, which we thank for the hospitality and support. M. Marcolli was partially supported by NSF grant DMS-0651925.Attached Files
Published - Marcolli2011p13123Complex_Anal_Oper_Th.pdf
Submitted - 0908.0596.pdf
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Marcolli2011p13123Complex_Anal_Oper_Th.pdf
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Additional details
- Eprint ID
- 23044
- Resolver ID
- CaltechAUTHORS:20110322-095729744
- DMS-0651925
- NSF
- Created
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2011-03-22Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field