Finite-Dimensional Approximations and Semigroup Coactions for Operator Algebras
Finite-Dimensional Approximations and Semigroup Coactions for Operator Algebras
Abstract The residual finite-dimensionality of a ${\textrm{C}}^{\ast }$-algebra is known to be encoded in a topological property of its space of representations, stating that finite-dimensional representations should be dense therein. We extend this paradigm to general (possibly non-self-adjoint) operator algebras. While numerous subtleties emerge in this greater generality, we exhibit …