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math.KT2022
Nonarchimedean bivariant K-theory
Devarshi Mukherjee
We introduce bivariant K-theory for nonarchimedean bornological algebras over a complete discrete valuation ring . This is the universal target for dagger homotopy invariant, ma…
math.KT2022
A Quillen model structure of local homotopy equivalences
Devarshi Mukherjee, Guillermo Cortiñas
In this note, we construct a closed model structure on the category of -graded complexes of projective systems of ind-Banach spaces. When the base field is…
math.KT2022
Local cyclic homology for nonarchimedean Banach algebras
Devarshi Mukherjee, Ralf Meyer
Let V be a complete discrete valuation ring with uniformiser p. We introduce an invariant of Banach V-algebras called local cyclic homology. This invariant is related to analytic c…