Date of Award
Spring 2024
Abstract
This dissertation investigates Voiculescu’s theorem on approximate equivalence in separable properly infinite factors. We establish the norm-denseness of the set of all reducible operators and prove Voiculescu’s bicommutant theorem. Additionally, we extend these results to the multiplier algebras within separable type III factors.
Document Type
Dissertation
First Advisor
Donald Hadwin
Second Advisor
Donald Hadwin
Third Advisor
Junhao Shen
Department or Program
Mathematics
Degree Name
Doctor of Philosophy
Recommended Citation
Ma, Minghui, "Voiculescu's Theorem in Properly Infinite Factors" (2024). Doctoral Dissertations. 2839.
https://scholars.unh.edu/dissertation/2839
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