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 |
|---|---|
| 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