  In this note, we establish a vanishing result for telescopically localized
$\mathrm{TR}$. More precisely, we prove that $T(k)$-local $\mathrm{TR}$
vanishes on connective $L_n^{p,f}$-acyclic $\mathbf{E}_1$-rings for every $1
\leq k \leq n$ and deduce consequences for connective Morava K-theory and the
Thom spectra $y(n)$. The proof relies on the relationship between $\mathrm{TR}$
and the spectrum of curves on K-theory together with fact that algebraic
K-theory preserves infinite products of additive $\infty$-categories which was
recently established by C\'{o}rdova Fedeli.

K-Theory and Homology;Algebraic Topology