# Homological algebra of KK-theory and the Atiyah-Segal completion theorem

Date:

2014/11/11 Tue 15:00 - 16:30

Room:

Room 609, Building No.6

Speaker:

Yosuke Kubota

Affiliation:

Tokyo

Abstract:

We introduce a new perspective on the Atiyah-Segal completion theorem

and generalize it for equivariant KK-theory of operator algebras. The

homological algebra of the Kasparov category, which is developed by Ralf

Meyer and Ryzard Nest, plays a central role. As corollaries, we

introduce Atiyah-Segal type completion theorems for K-homology and

twisted K-theory. This is a joint work with Yuki Arano.