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 (tsendova@msu.edu)

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.

 

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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

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