C^*-algebras generated by scaling elements
Operator Algebras
2007-05-23 v1 Functional Analysis
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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Cite
@article{arxiv.math/0404477,
title = {C^*-algebras generated by scaling elements},
author = {Takeshi Katsura},
journal= {arXiv preprint arXiv:math/0404477},
year = {2007}
}
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8 pages