Toeplitz algebras and the Heisenberg group

Autor:	Cren, Clément
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry Mathematics - Functional Analysis Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	We show an isomorphism between an algebra which is naturally constructed from the Toeplitz algebra generated by d-shifts, and an ideal of the C * -algebra of the (2d + 1)-dimensional Heisenberg group. This is a particular case of a more general result for graded nilpotent Lie groups involving symbols in the filtered calculus. The proof presented here however only involves basic functional analysis while still showcasing the ideas of the proof in the general setting.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.18266 Zobrazit plný text záznamu View this record from Arxiv