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math.AG2024
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…
math.AG2024
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…