Assorted Crossed Product Algebra Constructions
by
Michael P. Lamoureux
University of Calgary

There are a variety of ways to construct crossed product operator algebras, from explicit formula involving power series-like expansions, to existence theorems invoking universal properties of such agebras. There are also choices of covariance conditions that set restrictions on the possible algebras that may arise, choices on representations of the coefficient algebra, and the choice between self adjoint or non-self-adjoint algebras. The objective of this talk is to show the links between these various constructions, and in particular indicate where one algebra appears as an ideal or quotient of another. The ideas are illustrated by a series of elementary, yet fundamental examples, whose utility is illustrated by their use in the mathematical literature.

Date received: May 4, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacw-62.