Oral Presentations

New Moves on K-graphs

Presentation Type

Presentation

Faculty Mentor’s Full Name

Elizabeth Gillaspy

Faculty Mentor’s Department

Mathematics

Abstract / Artist's Statement

We present the results of our spring and summer research project we undertook with Kyle Nemeth, Joey Lippert, and Elizabeth Gillaspy. The research combined algebra and graph theory by using “k-graphs” as models for C*-algebras. We will first explain what a “k-graph” is before explaining the results of our research. The team found two new graph moves: “Iterative Insplitting” and “IKI insplitting” which do not change the C*-algebras and make some fun looking graphs!

Category

Physical Sciences

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Apr 19th, 10:15 AM Apr 19th, 10:30 AM

New Moves on K-graphs

UC 330

We present the results of our spring and summer research project we undertook with Kyle Nemeth, Joey Lippert, and Elizabeth Gillaspy. The research combined algebra and graph theory by using “k-graphs” as models for C*-algebras. We will first explain what a “k-graph” is before explaining the results of our research. The team found two new graph moves: “Iterative Insplitting” and “IKI insplitting” which do not change the C*-algebras and make some fun looking graphs!