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math.OA2026
The Hao-Ng isomorphism theorem for reduced crossed products
Adam Dor-On, Ian Thompson
We prove the Hao-Ng isomorphism for reduced crossed products by locally compact Hausdorff groups. More precisely, for a non-degenerate -correspondence and a gener…
math.OA2025
Rigidity of operator systems: tight extensions and noncommutative measurable structures
Raphaël Clouâtre, Ian Thompson
Let be a unital -algebra generated by some separable operator system . More than a decade ago, Arveson conjectured that is hyperrigid in if all irreducible repr…
math.OA2025
Couniversality for C*-algebras of residually finite-dimensional operator algebras
Adam Humeniuk, Christopher Ramsey, Ian Thompson
The C*-envelope of a non self-adjoint operator algebra is known to encode many properties of the underlying subalgebra. However, the C*-envelope does not always encode the residual…