Department of Mathematics

Topical Seminar for Undergraduate Mathematicians

  •  Brent Nelson, MSU (passcode: 5th prime, squared)
  •  An Introduction to C*-Algebras
  •  11/06/2020
  •  4:10 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Tsvetanka Sendova (

What's the difference between a continuous function and a Hermitian matrix? From the perspective of operator algebras, not much! Operator algebras is a branch of mathematics that is equal parts analysis and linear algebra, and operator algebraists spend a lot of time thinking about mathematical objects called C*-algebras. If you've taken a course in calculus, then you are already familiar with one example of a C*-algebra: the continuous functions on a closed interval [a,b]. If you've taken linear algebra, then you're familiar with another example: the nxn square matrices. In this talk I will introduce the definition of a C*-algebra by way of these examples, and show how each example can provide insights into the other.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science