| updated 2024
updated 2024

Working on regularity properties

Intensiv workshop of researchers specializing in Operator Algebras
Maria Grazia Viola, Anna Duwenig, Kristin Courtney, Astrid an Huef and Magdalena Georgescu met in Münster.
Maria Grazia Viola, Anna Duwenig, Kristin Courtney, Astrid an Huef and Magdalena Georgescu met in Münster.
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A group of researchers specializing in Operator Algebras has met last week at Mathematics Münster for an intensive workshop. Dr. Anna Duwenig (University of Wollongong), Prof. Dr. Astrid an Huef (Universtiy of Wellington), Prof. Dr. Maria Grazia Viola (Lakehead Universtiy), Dr. Magdalena Georgescu (University of Toronto), and Prof. Dr. Kristin Courtney (Mathematics Münster) are developing regularity conditions on a groupoid which can guarantee finite noncommutative covering dimension on its corresponding C*-algebra.

"We are grateful for the opportunity to finally meet up in person and work intensively for an entire week", says Kristin Courtney, Mathrix Professor at Mathematics Münster, on behalf of the group.

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"There are numerous regularity properties that have been defined in the context of groups and dynamics, which give rise to analogous regularity properties in their associated C*-algebras.

Building on our previous work on one such regularity property, we developed groupoid generalizations of others with the aim of comparing these properties directly at the level of groupoids. We are also working to translate various ad hoc methods appearing in ours and others proofs into a unified technique."

Links:
Prof. Dr. Kristin Courtney
Operator algebras and non-commutative geometry group at Mathematics Münster
Research network WOA! Women in Operator Algebras

Update 2024
Kristin Courtney, Anna Duwenig, Magdalena C. Georgescu, Astrid an Huef, and Maria Grazia Viola. Alexandrov groupoids and the nuclear dimension of twisted groupoid C*-algebras. Journal of Functional Analysis, 286(9):110372, May 2024. doi:10.1016/j.jfa.2024.110372.

 

© MM/vl
© MM/vl