Azumaya toposes
Algebraic Geometry
2017-07-13 v1 Rings and Algebras
Abstract
In arXiv:1606.07885, many different Grothendieck topologies were introduced on the category of Azumaya algebras. Here we give a classification in terms of sets of supernatural numbers. Then we discuss the associated categories of sheaves and their topos-theoretic points, which are related to UHF-algebras. The sheaf toposes that correspond to a single supernatural number have an alternative description, involving actions of the associated projective general linear group.
Keywords
Cite
@article{arxiv.1707.03814,
title = {Azumaya toposes},
author = {Jens Hemelaer},
journal= {arXiv preprint arXiv:1707.03814},
year = {2017}
}
Comments
22 pages