An Application of Aluthge Transforms to  Noncommutative Function Theory

An Application of Aluthge Transforms to Noncommutative Function Theory

An Application of Aluthge Transforms to Noncommutative Function Theory

Wednesday, June 28, 2023
  • Lecturer: Paul S. Muhly (University of Iowa)
  • Organizer: Orr Shalit
  • Location: Amado 814 (and zoom)
  • Zoom: Zoom Link
Abstract:
In 2003, Jung, Ko and Pearcy used the Aluthge transform of an n-by-n matrix to build a unitarily invariant, norm-decreasing retraction of the space of all n-by-n matrices onto the space of normal n-by-n matrices.  We show how to join their analysis to Geometric Invariant Theory in order to identify the C*-envelopes of certain algebras generated by d-fold tuples of n-by-n matrices together with their traces.
Print to PDF