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math.OA2022
Lebesgue decompositions and the Gleason--Whitney property for operator algebras
Raphaël Clouâtre, Michael Hartz
Broadly speaking, this paper is concerned with dual spaces of operator algebras. More precisely, we investigate the existence of what we call Lebesgue projections: central projecti…
math.OA2022
Minimal boundaries for operator algebras
Raphaël Clouâtre, Ian Thompson
We study boundaries for unital operator algebras. These are sets of irreducible -representations that completely capture the spatial norm attainment for a given subalgebra. Clas…