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.

Invariant basis number and basis types for C*-algebras

Philip Melvin Gipson, University of Nebraska - Lincoln


We develop the property of Invariant Basis Number (IBN) in the context of C*- algebras and their Hilbert modules. A complete K-theoretic characterization of C*- algebras with IBN is given. A scheme for classifying C*-algebras which do not have IBN is given and we prove that all such classes are realized. We investigate the invariance of IBN, or lack thereof, under common C-algebraic construction and perturbation techniques. Finally, applications of Invariant Basis Number to the study of C*-dynamical systems and the classification program are investigated.^

Subject Area


Recommended Citation

Gipson, Philip Melvin, "Invariant basis number and basis types for C*-algebras" (2015). ETD collection for University of Nebraska - Lincoln. AAI3689467.