C*-algebras generated by scaling elements

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)213-222
Number of pages10
JournalJournal of Operator Theory
Volume55
Issue number1
Publication statusPublished - 2006 Dec
Externally publishedYes

Fingerprint

C*-algebra
Scaling
Wold Decomposition
Isometry
Projection
Generalise
Theorem

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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

In: Journal of Operator Theory, Vol. 55, No. 1, 12.2006, p. 213-222.

Research output: Contribution to journalArticle

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