info:eu-repo/semantics/article
Commutative C∗-Algebras of Toeplitz Operators on the Unit Ball, II. Geometry of the Level Sets of Symbols
Autor
RAUL QUIROGA BARRANCO
Institución
Resumen
In the first part [16] of this work, we described the commutative C∗-
algebras generated by Toeplitz operators on the unit ball Bn whose symbols
are invariant under the action of certain Abelian groups of biholomorphisms
of Bn. Now we study the geometric properties of these symbols. This allows
us to prove that the behavior observed in the case of the unit disk (see [3])
admits a natural generalization to the unit ball Bn. Furthermore we give a
classification result for commutative Toeplitz operator C∗-algebras in terms
of geometric and “dynamic” properties of the level sets of generating symbols.
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