Operator Algebra seminar

Speaker: Karen Strung (Radboud University Nijmegen)

Title: On the distance between unitary orbits of normal elements in C*-algebras

Abstract: Using results from the Elliott classification programme for C*-algebras, the distance between unitary orbits of normal elements in a well-behaved C*-algebra is often determined completely by spectral data. In particular, joint work with Bhishan Jacelon and Andrew Toms showed that this holds for full-spectrum positive elements in C*-algebra satisfying certain regularity conditions. This talk will focus on new joint work with Jacelon, which uses transportation theory to generalize our results to unitary orbits of full-spectrum unitaries.