Vol. 59, No. 1, 1975

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Fields of automorphisms and derivations of Cāˆ—-algebras

Januario Varela

Vol. 59 (1975), No. 1, 277ā€“294

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
Received: 9 October 1974
Revised: 25 March 1975
Published: 1 July 1975
Januario Varela