There are many recent papers on classification of Harish-Chandra bimodules for rational Cherednik algebras and, more generally, non-commutative algebras which are quantizations of symplectic singularities (<a href="https://arxiv.org/abs/1810.07625">Losev</a>). What is the meaning of Harish-Chandra bimodules in terms of representation theory of the underlying algebra/its category O? Are Harish-Chandra bimodules related to the classical notion of <a href="https://en.wikipedia.org/wiki/Harish-Chandra_module">Harish-Chandra modules</a>?