baum-connes conjecture 1c*-algebras 1farrell-jones conjecture 1grothendieck-witt theory 1k-theory 1l-theory 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.KT2026
L-theory of -algebras
Markus Land, Thomas Nikolaus, Marco Schlichting
The paper derives a formula for the L-theory spectrum of real C*-algebras, relating L-groups to topological K-groups and connecting the Baum-Connes and Farrell-Jones conjectures vi…
math.KT2026
Hermitian K-theory for stable -categories III: Grothendieck-Witt groups of rings
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
We establish a fibre sequence relating the classical Grothendieck-Witt theory of a ring to the homotopy -orbits of its K-theory and Ranicki's original (non-period…
math.KT2025
Hermitian K-theory for stable -categories II: Cobordism categories and additivity
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
We define Grothendieck-Witt spectra in the setting of Poincaré -categories and show that they fit into an extension with a K- and an L-theoretic part. As consequences we d…