C^*-algebras generated by scaling elements

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We investigate C^*-algebras generated by scaling elements. We generalize the Wold decomposition and Coburn's theorem on isometries to scaling elements. We also completely determine when the C^*-algebra generated by a scaling element contains an infinite projection.
8 pages

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Operator Algebras, Functional Analysis, 46L05, 47B20

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http://salesiana.dossiersoluciones.com/handle/123456789/70979

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404477
 http://arxiv.org/abs/math/0404477

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arXiv