  We describe supertraces on ``queerifications'' (see arxiv:2203.06917) of the
algebras of matrices of ``complex size'', algebras of observables of
Calogero-Moser model, Vasiliev higher spin algebras, and (super)algebras of
pseudo-differential operators. In the latter case, the supertraces establish
complete integrability of the analogs of Euler equations to be written.
