Automorphisms of a non-type I C*-algebra

Abstract

Glimm's theorem says that a UHF algebra is almost embedded in a separable $C^{\ast }$-algebra not of type I. Applying his methods we obtain a covariant version of his result; a UHF algebra with a product type automorphism is covariantly embedded in such a $C^{\ast }$-algebra equipped with an automorphism with full Connes spectrum.

20 pages