On $\mathfrak{L}_{\infty}$-liftings of the Gelfand-Naimark morphism
Functional Analysis
2024-06-17 v1 Operator Algebras
Abstract
Let be a -algebra acting on a separable complex Hilbert space . We show that the inclusion of into factors through an -space only if is a finite type algebra.
Keywords
Cite
@article{arxiv.2403.01574,
title = {On $\mathfrak{L}_{\infty}$-liftings of the Gelfand-Naimark morphism},
author = {Vasily Melnikov},
journal= {arXiv preprint arXiv:2403.01574},
year = {2024}
}