2 papers
math.OA2021
Maximal C^*-covers and residual finite-dimensionality
Ian Thompson
We study residually finite-dimensional (or RFD) operator algebras which may not be self-adjoint. An operator algebra may be RFD while simultaneously possessing completely isometric…
math.OA2020
Finite-dimensionality in the non-commutative Choquet boundary: peaking phenomena and -liminality
Raphaël Clouâtre, Ian Thompson
We explore the finite-dimensional part of the non-commutative Choquet boundary of an operator algebra. In other words, we seek finite-dimensional boundary representations. Such rep…