A C∗-algebra of entire functions

Release time:2025-01-10

Journal:Proceedings of the American Mathematical Society

Abstract:We study the maximal abelian von Neumann algebra corresponding to L^{\infty}(R) via the Bargmann transform. It is naturally an algebra of operators on the Fock space F^2 , but it can also be realized as a function algebra contained in F^2 . This provides an interesting example of a algebra whose elements are analytic functions.

Co-author:Kehe Zhu

First Author:Pan Ma

Indexed by:Journal paper

Discipline:Natural Science

First-Level Discipline:Mathematics

Translation or Not:no

Date of Publication:2024-03-14