C*-algebras generated by mappings
- Authors
- Type
- Published Article
- Journal
- Lobachevskii Journal of Mathematics
- Publisher
- Pleiades Publishing
- Publication Date
- Jan 01, 2008
- Volume
- 29
- Issue
- 1
- Pages
- 5–8
- Identifiers
- DOI: 10.1134/S1995080208010022
- Source
- Springer Nature
- Keywords
- License
- Yellow
Abstract
Let X be an infinite set and let φ be a given mapping of it into itself. We consider the C*-algebra Cφ(X) with a single generating element Tφ on Hilbert space l2(X). We show that Cφ(X) is isomorphic to C*-algebra generated by a finite set of partial isometries of a special kind if Tφ is continuous. We give the full description of Cφ(X) in case φ is injective mapping. Also we give the examples of Cφ(X) if φ is not injective.
