A Gentle and Brief Introduction to L^p-Operator Algebras

Authors

Ellen Weld, Sam Houston State University

Document Type

Presentation Abstract

Presentation Date

4-22-2024

Abstract

Originally defined by Herz in the 1970s, L^p-operator algebras are Banach algebras which can be isometrically represented on an L^p-space for p∈[1,∞) and in many ways generalize the notion of operator algebras. However, L^p-operator algebras did not receive wider interest until Phillips' 2013 paper computing the K-theory of analogs of Cuntz algebras after which a number of authors have explored what well known operator algebra properties do and do not extend to L^p-operator algebras.

In this talk, we will gently introduce L^p-operator algebras and provide motivating examples suitable for non-experts as well as discuss exciting results and trends in this area of research. Knowledge of operator algebras is not required.

Additional Details

April 22, 2024 at 3:00 p.m. Math 103

Recommended Citation

Weld, Ellen, "A Gentle and Brief Introduction to L^p-Operator Algebras" (2024). Colloquia of the Department of Mathematical Sciences. 672.
https://scholarworks.umt.edu/mathcolloquia/672