18.07.2024

Speaker: Jakob Deutsch Title:    Introduction to K-Theory 

Abstract:  K-Theory is a fundamental area of mathematical research that connects algebra, geometry, and topology. This talk provides an introduction to K-Theory, focusing on its application to C*-algebras. We will begin by exploring the basic concepts of C*-algebras, emphasizing their structure and significance in functional analysis. Then, we will delve into the K-Theory of C*-algebras, outlining historical developments and core principles, including the construction of the K_0 group of unital C*-algebras. We will discuss how K-Theory provides invariants for classifying C*-algebras. In particular, we will treat Elliott's classification theorem for AF-algebras.