# Twisted equivariant $K$-theory of operator algebras and topological phases of matter

Date:

2020/06/29 Mon 16:30 - 17:30

Speaker:

Yosuke Kubota

Affiliation:

Shinshu University

Abstract:

In the theory of condensed-matter physics, twisted equivariant $K$-theory (in the sense of Freed-Moore) of the torus is known to classify the topological phases of matter. For both theoretical and computational reasons, it is useful to generalize this twisted equivariant $K$-theory to the category of $C^*$-algebras. In this talk I will introduce the foundation of the twisted equivariant $K$-theory for $C^*$-algebras and its use in the theory of topological phases.

This talk will be online by zoom. Please register at:

https://docs.google.com/forms/d/e/1FAIpQLSebr4zO0OVeRvOvcKoHsmOojRGWF_AX...