Off-campus UNL users: To download campus access dissertations, please use the following link to log into our proxy server with your NU ID and password. When you are done browsing please remember to return to this page and log out.
Non-UNL users: Please talk to your librarian about requesting this dissertation through interlibrary loan.
Covariant representations of C*-dynamical systems involving compact groups
Given a C*-dynamical system (A, G, σ) the crossed product C*-algebra A×σG encodes the action of G on A. By the universal property of A ×σ G there exists a one to one correspondence between the set all covariant representations of the system (A, G, σ) and the set of all *-representations of A×σG. Therefore, the study of representations of A ×σ G is equivalent to that of covariant representations of ( A, G, σ).^ We study induced covariant representations of systems involving compact groups. We prove that every irreducible (resp. factor) covariant representation of (A, G, σ) is induced from an irreducible (resp. factor) representation of a subsystem (A,G0, σ) where π0 is a factor representation. This extends a result obtained in  for finite groups. It was shown in  that if G is an amenable group then every primitive ideal of A ×σ G is induced from a stability group. If G is compact then we obtain a stronger result, that is, every irreducible representation of (A, G, σ) is induced from a stability group. In addition, we show that (A, G, σ) satisfies the strong-EHI property introduced by Echterhoff and Williams in . ^
Kamalov, Firuz, "Covariant representations of C*-dynamical systems involving compact groups" (2011). ETD collection for University of Nebraska - Lincoln. AAI3465903.