C*-Envelopes of Jordan Operator Systems

TL;DR

This paper characterizes the boundary representations and C*-envelope of operator systems generated by Jordan operators, advancing the understanding of their structural properties in operator algebra theory.

Contribution

It provides a complete description of the boundary representations and C*-envelopes for operator systems formed by Jordan operators, a class not fully understood before.

Findings

Identifies boundary representations for Jordan operator systems.

Determines the C*-envelope explicitly for these systems.

Enhances the structural understanding of Jordan operator systems.

Abstract

We determine the boundary representations and the C*-envelope of operator systems of the form span{I,T,T*}, where T is a Jordan operator.