Dagger completions and bornological torsion-freeness
Algebraic Geometry
2019-09-23 v2 Functional Analysis
Abstract
We define a dagger algebra as a bornological algebra over a discrete valuation ring with three properties that are typical of Monsky-Washnitzer algebras, namely, completeness, bornological torsion-freeness and a certain spectral radius condition. We study inheritance properties of the three properties that define a dagger algebra. We describe dagger completions of bornological algebras in general and compute some noncommutative examples.
Keywords
Cite
@article{arxiv.1808.02067,
title = {Dagger completions and bornological torsion-freeness},
author = {Ralf Meyer and Devarshi Mukherjee},
journal= {arXiv preprint arXiv:1808.02067},
year = {2019}
}
Comments
Added result on bornological torsion-freeness of tensor products, some changes to exposition