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arXiv · 1808.02067

Dagger completions and bornological torsion-freeness

Ralf Meyer·Devarshi Mukherjee
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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.

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Ralf Meyer, Devarshi Mukherjee. 2018-08-06. Dagger completions and bornological torsion-freeness. https://doi.org/10.1093/qmath/haz012

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