Berndt Brenken University of Calgary
“Universal C*-algebras of *-semigroups and the C*-algebra of a partial isometry”
Certain universal C*-algebras for *-semigroups will be introduced. Examples occur in describing the C*-algebra of a partial isometry, which is a Cuntz-Pimsner C*-algebra associated with a C*-correspondence; this can be viewed as a form of crossed product C*-algebra for an action by a completely positive map. The C*-algebras involved occur as universal C*-algebras associated with contractive *-representations, and complete order *-representations, of certain *-semigroups.