HomeElementary Topics in C*-Dynamics Purdue Experimental Mathematics Lab Spring 2026 Accepted Mathematics In this project, our objective is to study a class of algebras called C*-algebras. These algebras play an important role in functional analysis, mathematical physics, and noncommutative geometry. We will begin by introducing the definition of C*-algebras and study some basic examples of such algebras. After that, we will continue to study finite group actions on C*-algebra and the associated construction known as the crossed product C*-algebra, also called C*-dynamics. We will focus on understanding the basic properties of crossed products by basic examples and simple results. The goal of this project is to introduce undergraduate students to C*-algebras and group actions by developing intuition through examples and emphasizing basic ideas rather than technical details. Thomas J Sinclair Course-based, vertically-integrated research projects in mathematics. Each project will consist of a small research team consisting of typically 2-4 undergraduates, a graduate mentor, and a faculty mentor. The graduate mentor and undergraduates will meet on a weekly basis, with full team meetings every few weeks as determined by the faculty mentor. To apply include a brief (one page or less) statement explaining your interest in mathematics research. Additionally, list all mathematics courses you have taken with your grade in each one, as well as any other coursework or qualifications that you feel are pertinent. Undergraduates who have been accepted into a project must sign up for the 3-credit "Purdue Experimental Math Lab" course (currently listed under MA 490) and must pledge that they are able to dedicate 10 hours of effort per week to the project. https://www.math.purdue.edu/pxml/join-pxml.html Completion of proof-based courses in Real Analysis and Linear Algebra 3 10 (estimated)