Quantum Channels, Wavelets, Dilations and Representations of $O_n$

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dc.creatorKribs, David W.
dc.date2003-09-23
dc.date.accessioned2026-07-07T05:01:24Z
dc.date.available2026-07-07T05:01:24Z
dc.descriptionWe show that the representations of the Cuntz C$^\ast$-algebras $O_n$ which arise in wavelet analysis and dilation theory can be classified through a simple analysis of completely positive maps on finite-dimensional space. Based on this analysis, an application in quantum information theory is obtained; namely, a structure theorem for the fixed point set of a unital quantum channel. We also include some open problems motivated by this work.
dc.description15 pages, preprint version
dc.identifierhttps://arxiv.org/abs/math/0309390
dc.identifierhttp://arxiv.org/abs/math/0309390
dc.identifierProc. Edinburgh Math. Soc. 46 (2003), 421-433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68655
dc.subjectOperator Algebras
dc.subjectQuantum Physics
dc.subject46L45, 47A20, 46L60, 42C40, 81P15
dc.titleQuantum Channels, Wavelets, Dilations and Representations of $O_n$
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