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Texas A&M University

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.

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