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arXiv · 2204.00508

Local cyclic homology for nonarchimedean Banach algebras

Devarshi Mukherjee·Ralf Meyer
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Abstract

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 cyclic homology for complete, bornologically torsionfree V-algebras. It is shown that local cyclic homology only depends on the reduction mod p of a Banach V-algebra and that it is homotopy invariant, matricially stable, and excisive.

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Devarshi Mukherjee, Ralf Meyer. 2022-04-01. Local cyclic homology for nonarchimedean Banach algebras. https://arxiv.org/abs/2204.00508

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