5 papers · 1 filter
Noncommutative Gelfand Duality: the algebraic case
Federico Bambozzi, Matteo Capoferri, Simone Murro
The goal of this paper is to define a notion of non-commutative Gelfand duality. Using techniques from derived algebraic geometry, we show that the category of rings is anti-equiva…
The tempered disk and the tempered cohomology
Federico Bambozzi, Bruno Chiarellotto, Pietro Vanni
Let V be a complete discretely valued ring of mixed characteristic, with fraction field K and residue field k. Using the ind-Banach framework for derived analytic geometry, we view…
Derived Analytic Geometry for Z-Valued Functions. Part I -- Topological Properties
Federico Bambozzi, Tomoki Mihara
We study the Banach algebras of continuous functions from a compact Hausdorff topological space to a Banach ring whose topology is discrete. We prove that t…
Homotopy Epimorphisms and Derived Tate's Acyclicity for Commutative C*-algebras
Federico Bambozzi, Tomoki Mihara
We study homotopy epimorphisms and covers formulated in terms of derived Tate's acyclicity for commutative C*-algebras and their non-Archimedean counterparts. We prove that a homot…
Theorems A and B for dagger quasi-Stein spaces
Federico Bambozzi
In this article we use the homological methods of the theory of quasi-abelian categories and some results from functional analysis to prove Theorems A and B for (a broad sub-class…