Commutative C⁎-Algebras of Toeplitz Operators via the Moment Map on the Polydisk
Joint Authors
Hernández-Marroquin, Mauricio
Sánchez-Nungaray, Armando
Dupont-García, Luis Alfredo
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 necessary maximal) Abelian subgroup of biholomorphism we introduced a family of symbols given by the moment map such that the C⁎-algebra generated by Toeplitz operators with this kind of symbol is commutative.
Thus we relate to each Abelian subgroup of biholomorphisms a commutative C⁎-algebra of Toeplitz operators.
American Psychological Association (APA)
Hernández-Marroquin, Mauricio& Sánchez-Nungaray, Armando& Dupont-García, Luis Alfredo. 2016. Commutative C⁎-Algebras of Toeplitz Operators via the Moment Map on the Polydisk. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1108565
Modern Language Association (MLA)
Hernández-Marroquin, Mauricio…[et al.]. Commutative C⁎-Algebras of Toeplitz Operators via the Moment Map on the Polydisk. Journal of Function Spaces No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1108565
American Medical Association (AMA)
Hernández-Marroquin, Mauricio& Sánchez-Nungaray, Armando& Dupont-García, Luis Alfredo. Commutative C⁎-Algebras of Toeplitz Operators via the Moment Map on the Polydisk. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1108565
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108565
