From the 1 of 8 linked papers with an AI index.
1 citations · 1 across the 3 of their papers we have counts for
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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…
On the -theory of pushouts
Markus Land, Georg Tamme
We reveal a relation between the behaviour of localizing invariants on pushouts and on pullbacks of ring spectra. More concretely, we show that the failure of sending a pus…
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…
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…