Commutative $C^*$-algebras generated by Toeplitz operators on the super unit ball
| Autor: | Quiroga-Barranco, R., Sánchez-Nungaray, A. |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00006-015-0593-2 |
| Popis: | We extend known results about commutative $C^*$-algebras generated Toeplitz operators over the unit ball to the supermanifold setup. This is obtained by constructing commutative $C^*$-algebras of super Toeplitz operators over the super ball $\mathbb{B}^{p|q}$ and the super Siegel domain $\mathbb{U}^{p|q}$ that naturally generalize the previous results for the unit ball and the Siegel domain. In particular, we obtain one such commutative $C^*$-algebra for each even maximal Abelian subgroup of automorphisms of the super ball. Comment: To appear in Advances in Applied Clifford Algebras |
| Databáze: | arXiv |
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