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- W2791645347 abstract "We define a class of sites such that the associated topos is equivalent to the category of smooth sets (representations) of some locally prodiscrete monoids (to be defined). Examples of locally prodiscrete monoids include profinite groups and finite adele valued points of algebraic groups. This is a generalization of the fact that the topos associated with the étale site of a scheme is equivalent to the category of sets with continuous action by the étale fundamental group. We then define a subclass of sites such that the topos is equivalent to the category of discrete sets with a continuous action of a locally profinite group." @default.
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- W2791645347 date "2018-05-01" @default.
- W2791645347 modified "2023-10-17" @default.
- W2791645347 title "Sites whose topoi are the smooth representations of locally prodiscrete monoids" @default.
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- W2791645347 doi "https://doi.org/10.1016/j.jalgebra.2018.01.033" @default.
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