## Noncommutative Geometry Seminar

**Date: ** September 16, 2020

**Time: ** 1:00PM - 2:00PM

**Location: ** Zoom 942810031

**Speaker: **Kristin Courtney, University of Münster (WWU)

**Title: ***C*-structure on images of completely positive order zero maps*

**Abstract: **A completely positive (cp) map is called order zero when it preserves orthogonality. Such maps enjoy a rich structure, which has made them a key component of completely positive approximations of nuclear C*-algebras. Motivated by generalized inductive limits arising from such cp approximations, we consider the structure of the image of a cp order zero map. It turns out that this is captured by a few key properties that one can ask of a self-adjoint subspace of a C*-algebra. We will discuss these properties and the implications for generalized inductive sequences. This is joint work with Wilhelm Winter.

**URL: ***Link*