Abstract: Analytic Automorphisms of a Field of Compacts

Appeared: Journal of Operator Theory, Vol. 28, 1992.

Non-self-adjoint crossed products are used to study the isomorphism problem in
the simplest case of a C*-dynamical system with a non-discrete group acting non-freely.
In this case,  any analytic automorphism of the transformation group C*-algebra induces
an orientation and measure class preserving homeomorphism of the underlying circle.
This result extends to the class of analytic subalgebras of a certain field of
compact operators determined by a nest of projections.

Michael P. Lamoureux
University of Calgary