3 papers
math.KT2026
Stratification in equivariant Kasparov theory
Ivo Dell'Ambrogio, Rubén Martos
We study stratification, that is the classification of localizing tensor ideal subcategories by geometric means, in the context of Kasparov's equivariant KK-theory of C*-algebras.…
math.RT2024
An introduction to Mackey and Green 2-functors
Ivo Dell'Ambrogio
For half a century, Mackey and Green functors have been successfully used to model the induction and restriction maps which are ubiquitous in the representation theory of finite gr…
math.KT2024
A general Greenlees-May splitting principle
Serge Bouc, Ivo Dell'Ambrogio, Rubén Martos
In equivariant topology, Greenlees and May used Mackey functors to show that, rationally, the stable homotopy category of -spectra over a finite group splits as a product of…