### 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 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Journal of Operator Theory*,

*55*(1), 213-222.

**C*-algebras generated by scaling elements.** / Katsura, Takeshi.

Research output: Contribution to journal › Article

*Journal of Operator Theory*, vol. 55, no. 1, pp. 213-222.

}

TY - JOUR

T1 - C*-algebras generated by scaling elements

AU - Katsura, Takeshi

PY - 2006/12

Y1 - 2006/12

N2 - 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.

AB - 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.

KW - Coburn's theorem

KW - K-groups

KW - Scaling elements

KW - Topological graphs

KW - Wold decomposition

UR - http://www.scopus.com/inward/record.url?scp=33645991815&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645991815&partnerID=8YFLogxK

M3 - Article

VL - 55

SP - 213

EP - 222

JO - Journal of Operator Theory

JF - Journal of Operator Theory

SN - 0379-4024

IS - 1

ER -