# K-Theory: Algebraic Topology and Non-commutative Algebraic Topology

## Document Type

Presentation Abstract

## Presentation Date

9-13-2021

## Abstract

This will be a gentle introduction to K-theory, first in the context of topological spaces and then in the context of operator algebras. We will discuss both real K-theory and complex K-theory, and the interplay between them. At the end, I will present two important classification theorems for real C*-algebras using K-theory. I will assume no prior knowledge of K-theory.

## Recommended Citation

Boersema, Jeff, "K-Theory: Algebraic Topology and Non-commutative Algebraic Topology" (2021). *Colloquia of the Department of Mathematical Sciences*. 626.

https://scholarworks.umt.edu/mathcolloquia/626

## Additional Details

September 13, 2021 at 3:00 p.m. in Math 103