Bivariant K-Theory for Bornological AlgebrasOberseminar Global Analysis and Operator Algebras

by Devarshi Mukherjee (Uni Münster)

Tuesday Oct 14, 2025, 2:15 PM → 3:15 PM Europe/Berlin

Seminar room 1.008 (Mathezentrum)

We introduce a presentable, stable infinity categorical 
enhancement of Cuntz-Meyer-Rosenberg's bivariant K-theory for 
bornological algebras. The resulting category is the universal target 
for filtered colimit preserving functors satisfying smooth homotopy 
invariance, matricial stability and excision. I will discuss the 
relationship between this invariant and bivariant K-theory for 
C*-algebras. This is ongoing joint work with Anupam Datta.