Khalid Bdarneh

Toeplitz $C^*$-algebras on radially weighted Fock spaces: commutativity and spectral representation

We study Toeplitz operators acting on radial weighted Fock spaces. We use tools from representation theory to construct commutative families of $C^*$-algebras that are generated by Toeplitz operators whose symbols are invariant under the action of $\U(n)$. For a partition $m=(b_1,...,b_k)$ of an integer $n$, we realize...