Date of Award
Spring 2019
Abstract
The main part of the thesis relates to generalized Beurling-Helson-Lowdenslager theorems on the unit disk, in multiply connected domains, and in finite von Neumann algebras. I have also obtained results on approximate unitary equivalence of representations of separable ASH C*-algebras in a semifinite von Neumann algebra, extending results of D. Voiculescu. In the last part of the thesis, I give two characterizations of tracially nuclear C*-algebras.
Document Type
Dissertation
First Advisor
Donald W Hadwin
Second Advisor
Junhao Shen
Third Advisor
Rita A Hibschweiler
Department or Program
Mathematics
Degree Name
Doctor of Philosophy
Recommended Citation
Liu, Wenjing, "BEURLING THEOREMS AND APPROXIMATE EQUIVALENCE IN VON NEUMANN ALGEBRAS" (2019). Doctoral Dissertations. 2455.
https://scholars.unh.edu/dissertation/2455