Seminar series
Date
Thu, 12 Jan 2023
16:00
16:00
Location
Quillen Room
Speaker
Rufus Willett
Organisation
University of Hawaii
K-homology is the dual theory to K-theory for C*-algebras. I will show how under appropriate quasi-diagonality and countability assumptions K-homology (more generally, KK-theory) can be realized by completely positive and contractive, and approximately multiplicative, maps to matrix algebras modulo an appropriate equivalence relation. I’ll briefly explain some connections to manifold topology and existence / uniqueness theorems in C*-algebra classification theory (due to Dadarlat and Eilers).
Some of this is based on joint work with Guoliang Yu, and some is work in progress