### 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.

Original language | English |
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Pages (from-to) | 213-222 |

Number of pages | 10 |

Journal | Journal of Operator Theory |

Volume | 55 |

Issue number | 1 |

Publication status | Published - 2006 Dec 1 |

Externally published | Yes |

### Keywords

- Coburn's theorem
- K-groups
- Scaling elements
- Topological graphs
- Wold decomposition

### ASJC Scopus subject areas

- Algebra and Number Theory

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## Cite this

Katsura, T. (2006). C*-algebras generated by scaling elements.

*Journal of Operator Theory*,*55*(1), 213-222.