On the quantisation of points

By C. Mulvey, J. Pelletier. 2001

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Étale groupoids and their quantales (2004, background): “Any representation of A on a Hilbert space H yields a left module over MaxA consisting of all the projections of H [11, 23, 31].”
Categorical structures enriched in a quantaloid: tensored and cotensored categories (2004, unknown): “Q-object X, which are all order-preserving and satisfy furthermore for any f : X Y in Q and y ∈ CY that Fy ⊗ f ≤ F (y ⊗ f ). Having defined components ϕF X as in ( 8 ), this says that FC� (f ) ◦ ϕF Y ≤ ϕF X ◦F C(f ), for any f : X Y in Q, i.e.”