Analysis and Probability seminar

Abstract: The concept of non-commutative topological dimension has been a central theme in the study of C*-algebras. Among several notions, the nuclear dimension, introduced by Winter and Zacharias, serves as a non-commutative analogue of the Lebesgue covering dimension and has been pivotal in the classification program of simple unital C*-algebras.

A natural progression in the field is the classification of maps between C*-algebras. Similar to the classification of algebras, this endeavor necessitates strong regularity conditions, such as nuclear dimension, but applied at the level of the maps themselves rather than the algebras. In this talk, I will present a description of *-homomorphisms with nuclear dimension equal to zero.

This is joint work with Robert Neagu.