Derivations of quasitriangular algebras

Bruce Harvey Wagner

Vol. 114 (1984), No. 1, 243–255

DOI: 10.2140/pjm.1984.114.243

Abstract

If A is a quasitriangular algebra, i.e., a compact perturbation of a nest algebra, then every automorphism of A close to the identity is inner. As a consequence, every derivation on A is inner.

Mathematical Subject Classification 2000

Primary: 47D25, 47D25

Secondary: 46L40, 47A15

Milestones

Received: 28 March 1983

Published: 1 September 1984