# The classification of C*-algebras

## Document Type

Presentation Abstract

## Presentation Date

3-12-2018

## Abstract

A C*-algebra is an algebra of bounded linear operators acting on a Hilbert space, closed under adjoint operation and closed under the norm topology. Prototype examples include the algebra of *n* by *n* matrices and the algebra of continuous function on a compact Hausdorff space, and in general, C*-algebras arise naturally in the studies of dynamical systems, mathematical physics, group theory, and representation theory, etc. In this talk, I will give an overview of the recent progress on the classification of C*-algebras using the *K*-theory information.

## Recommended Citation

Niu, Zhuang, "The classification of C*-algebras" (2018). *Colloquia of the Department of Mathematical Sciences*. 543.

https://scholarworks.umt.edu/mathcolloquia/543

## Additional Details

Monday, March 12, 2018 at 3:00 p.m. in Math 103

Refreshments at 4:00 p.m. in Math Lounge 109