  The resolvent algebra $\mathcal{R}(X, \sigma)$ associated to a symplectic
space $(X, \sigma)$ was introduced by D. Buchholz and H. Grundling as a
convenient model of the canonical commutation relation (CCR) in quantum
mechanics. We first study a representation of $\mathcal{R}(\mathbb{C}^n,
\sigma)$ with the standard symplectic form $\sigma$ inside the full Toeplitz
algebra over the Fock-Bargmann space. We prove that $\mathcal{R}(\mathbb{C}^n,
\sigma)$ itself is a Toeplitz algebra. In the sense of R. Werner's
correspondence theory we determine its corresponding shift-invariant and closed
space of symbols. Finally, we discuss a representation of the resolvent algebra
$\mathcal{R}(\mathcal{H}, \tilde{\sigma})$ for an infinite dimensional
symplectic separable Hilbert space $(\mathcal{H}, \tilde{\sigma})$. More
precisely, we find a representation of $\mathcal{R}(\mathcal{H},
\tilde{\sigma})$ inside the full Toeplitz algebra over the Fock-Bargmann space
in infinitely many variables.
