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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…
math.GR2022
The number of locally invariant orderings of a group
Idrissa Ba, Adam Clay, Ian Thompson
We show that if a nontrivial group admits a locally invariant ordering, then it admits uncountably many locally invariant orderings. For the case of a left-orderable group, we prov…