Commutative C⁎-Algebras of Toeplitz Operators via the Moment Map on the Polydisk

We found that in the polydisk Dn there exist (n+1)(n+2)/2 different classes of commutative C⁎-algebras generated by Toeplitz operators whose symbols are invariant under the action of maximal Abelian subgroups of biholomorphisms. On the other hand, using the moment map associated with each (not neces...

Full description

Bibliographic Details
Main Authors: Mauricio Hernández-Marroquin, Armando Sánchez-Nungaray, Luis Alfredo Dupont-García
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/1652719