Toeplitz algebra and Symbol map via Berezin transform on $H^2({\mathbb{D}}^n)$

Mo Javed, Amit Maji

Let $\mathcal{T}(L^{\infty }(\mathbb{T}))$ be the Toeplitz algebra, that is, the $C^{\ast }$-algebra generated by the set $\{T_{\varphi }:\varphi \in L^{\infty }(\mathbb{T})\}$. Douglas's theorem on sym…