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Stone duality and quasi‐orbit spaces for generalised C∗‐inclusions

Stone duality and quasi‐orbit spaces for generalised C∗‐inclusions

Let A be a C ∗ -subalgebra of the multiplier algebra M ( B ) of a C ∗ -algebra B. Exploiting the duality between sober spaces and spatial locales, and the adjunction between restriction and induction for ideals in A and B, we identify conditions that allow to define …