  In this paper we show that the C*-algebra generated by radial Toeplitz
operators with $L_{\infty}$-symbols acting on the Fock space is isometrically
isomorphic to the C*-algebra of bounded sequences uniformly continuous with
respect to the square-root-metric
$\rho(j,k)=|\sqrt{\vphantom{jk}j}-\sqrt{\vphantom{jk}k}\,|$. More precisely, we
prove that the sequences of eigenvalues of radial Toeplitz operators form a
dense subset of the latter C*-algebra of sequences.
