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C^*-algebras generated by scaling elements

Takeshi Katsura
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Abstract

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.

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Takeshi Katsura. 2004-04-27. C^*-algebras generated by scaling elements. https://arxiv.org/abs/math/0404477

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