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math.CT2025
Local presentability and monadicity of forgetful functors for operator algebraic categories
Alexandru Chirvasitu, Ian Thompson
In recent work of Lindenhovius and Zamdzhiev, it was established that the category of complete operator spaces, with completely contractive linear maps as morphisms, is locally cou…
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…
math.OA2025
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…