38 citations · 160 across the 14 of their papers we have counts for
15 papers
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…
On the Sheafyness Property of Spectra of Banach Rings
Federico Bambozzi, Kobi Kremnizer
Let R be a non-Archimedean Banach ring, satisfying some mild technical hypothesis that we will specify later on. We prove that to R one can associate a homotopical Huber spectrum S…
On the uniqueness of invariant states
Federico Bambozzi, Simone Murro
Given an abelian group G endowed with a T-pre-symplectic form, we assign to it a symplectic twisted group *-algebra W_G and then we provide criteria for the uniqueness of states in…
Rigidity for rigid analytic motives
Federico Bambozzi, Alberto Vezzani
In this paper we prove the Rigidity Theorem for motives of rigid analytic varieties over a non-Archimedean valued field . We prove this theorem both for motives with transfers a…
Invariant states on noncommutative tori
Federico Bambozzi, Simone Murro, Nicola Pinamonti
For any number such that is irrational and any skew-symmetric, non-degenerate bilinear form , let be $\mat…
Analytic geometry over F_1 and the Fargues-Fontaine curve
Federico Bambozzi, Oren Ben-Bassat, Kobi Kremnizer
This paper develops a theory of analytic geometry over the field with one element. The approach used is the analytic counter-part of the Toen-Vaquie theory of schemes over F_1, i.e…
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…
Stein Domains in Banach Algebraic Geometry
Federico Bambozzi, Oren Ben-Bassat, Kobi Kremnizer
In this article we give a homological characterization of the topology of Stein spaces over any valued base field. In particular, when working over the field of complex numbers, we…
Closed graph theorems for bornological spaces
Federico Bambozzi
The aim of this paper is that of discussing Closed Graph Theorems for bornological vector spaces in a way which is accessible to non-experts. We will see how to easily adapt classi…
Dagger Geometry As Banach Algebraic Geometry
Federico Bambozzi, Oren Ben-Bassat
In this article, we apply the approach of relative algebraic geometry towards analytic geometry to the category of bornological and Ind-Banach spaces (non-Archimedean or not). We a…
On a generalization of affinoid varieties
Federico Bambozzi
In this thesis we develop the foundations for a theory of analytic geometry over a valued field, uniformly encompassing the case when the base field is equipped with a non-archimed…
On a Family of Circulant Matrices for Quasi-Cyclic Low-Density Generator Matrix Codes
Marco Baldi, Federico Bambozzi, Franco Chiaraluce
We present a new class of sparse and easily invertible circulant matrices that can have a sparse inverse though not being permutation matrices. Their study is useful in the design…