Corpus ID: 119288637

Azumaya toposes

@inproceedings{Hemelaer2017AzumayaT,
  title={Azumaya toposes},
  author={Jens Hemelaer},
  year={2017}
}
In [4], 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. 
2 Citations
Grothendieck topologies on posets
Three arithmetic sites

References

SHOWING 1-8 OF 8 REFERENCES
Topological Galois Theory
Points in algebraic geometry
Noncommutative Noetherian Rings
Prime ideal structure in commutative rings
Lectures on topics in algebraic k-theory
Sheaves In Geometry And Logic
Topos theory, Academic Press [Harcourt Brace Jovanovich, Publishers
  • London-New York,
  • 1977