Abstract
In the flrst part (16) of this work, we described the commutative C ⁄ - algebras generated by Toeplitz operators on the unit ball B n whose symbols are invariant under the action of certain Abelian groups of biholomorphisms of B n . 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 B n . Furthermore we give a classiflcation 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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