Locally Convex Bialgebroid of an Action Lie Groupoid.

Action Lie groupoids are used to model spaces of orbits of actions of Lie groups on manifolds. For each such action groupoid M ⋊ H , we construct a locally convex bialgebroid Dirac (M ⋊ H) with an antipode over C c ∞ (M) , from which the groupoid M ⋊ H can be reconstructed as its spectral action Lie groupoid A G sp (Dirac (M ⋊ H)) . [ABSTRACT FROM AUTHOR]