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@highergeometer@mathstodon.xyz

2026-02-27 04:56 UTC

@francisbrb Well, not sure. That's the intended case it's being possibly applied in. Also, this means that in the special case that your Lie groupoid is a manifold, then tbe manifold is compact, and this is a nicer setup to be (for me) for K-theory.

Replies (1)

  • @francisbrb@mathstodon.xyz 2026-02-27 05:04

    @highergeometer I see. I was wondering how that would matter if you were doing a sheafy thing. I guess proper is much more important since you can apply a linearization theorem in order to assume that locally your groupoid is the action groupoid of a compact group over an open set in a representation.

    Open ##1501386