Positive cones and gauges on algebras with involution
arXiv:1806.05489 · doi:10.1093/imrn/rnaa337
Abstract
We extend the classical links between valuations and orderings on fields to Tignol-Wadsworth gauges and positive cones on finite-dimensional simple algebras with involution. We also study the compatibility of gauges and positive cones, and prove lifting results in the style of the Baer-Krull theorem for fields.
Final version, accepted for publication. Difference with previous version: some typos corrected (in particular, 14 should be 13 in Ex. 8.10), some text revised. Difference with published version: different layout, but numbering of results and references is the same