A characterization for compact central double centralizers of C^∗-algebras

Sin-ei Takahasi

Vol. 72 (1977), No. 1, 255–259

DOI: 10.2140/pjm.1977.72.255

Abstract

The purpose of this note is to give a characterization for compact central double centralizers on any C^∗-algebra A in view of the Dixmier’s representation theorem of central double centralizers on A. The proof makes use of the Urysohn’s lemma for spectra of C^∗-algebras and algebraic properties of a central double centralizer.

Mathematical Subject Classification 2000

Primary: 46L05

Milestones

Received: 13 October 1976

Revised: 10 March 1977

Published: 1 September 1977