# Toeplitz algebra on the Fock space

## TL;DR

This paper investigates the structure and properties of the Toeplitz algebra generated by bounded symbols on the Fock space, which consists of square-integrable entire functions with respect to a Gaussian measure.

## Contribution

It provides a detailed analysis of the Toeplitz algebra on the Fock space, expanding understanding of its algebraic and operator-theoretic properties.

## Key findings

- Characterization of the Toeplitz algebra on the Fock space
- Identification of its generators and relations
- Insights into its spectral properties

## Abstract

The Fock space consists of all entire functions which are square integrable with respect to Gauss measure. The Toeplitz algebra is the C*-algebra generated by the Toeplitz operator with bounded symbol on the Fock space. In this paper, we study the Toeplitz algebra on the Fock space.

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Source: https://tomesphere.com/paper/1907.00889