Abstract
In this paper, we construct a symbol calculus yielding short exact sequences for the dual Toeplitz algebra generated by all bounded dual Toeplitz operators on the Hardy space associated with the polydisk D-n in the unitary space C-n, that have been introduced and well studied in our earlier paper (Benaissa and Guediri in Taiwan J Math 19: 31-49, 2015), as well as for the C*-subalgebra generated by dual Toeplitz operators with symbols continuous on the associated hypertorus T-n.