Fields of automorphisms and derivations of C^∗-algebras

Januario Varela

Vol. 59 (1975), No. 1, 277–294

DOI: 10.2140/pjm.1975.59.277

Abstract

Let A be a C^∗-algebra with identity; the group of star automorphisms of A leaving its center elementwise fixed is represented as the set of all global sections of a field of groups whose base space is the spectrum of the center of A and whose stalks are groups of automorphisms of a family of quotient C^∗-algebras. The derivations of A are similarly represented in a field of Lie algebras.

Mathematical Subject Classification 2000

Primary: 46L05

Milestones

Received: 9 October 1974

Revised: 25 March 1975

Published: 1 July 1975