Classifying Invariants of k-Graph C*-Algebras

Document Type

Presentation Abstract

Presentation Date

1-23-2023

Abstract

This talk will introduce higher-rank graphs and their C*-algebras. The goal will be to discuss the problem of classification and further discuss methods of computing classifying invariants. Highlights include tools from homological algebra called spectral sequences as well as combinatorial data such as "graph moves". These rather complicated objects take on some intuitive properties when viewed through the lens of C*-algebras which leads to surprising results for k-graphs.

Additional Details

Link to the presenter's dissertation.

January 23, 2023 at 3:00 p.m. Math 103

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