On Existence and Uniqueness of Universal Enveloping Locally C*-Algebra for a Locally JB-Algebra

TL;DR

This paper proves a theorem establishing the existence and uniqueness of a universal locally C*-algebra for any locally JB-algebra, contributing to the mathematical understanding of these algebraic structures.

Contribution

It introduces a theorem demonstrating the existence and uniqueness of a universal locally C*-algebra associated with any locally JB-algebra.

Findings

Proves the existence of a universal locally C*-algebra for locally JB-algebras.

Establishes the uniqueness of this universal algebra up to topological *-isomorphism.

Abstract

A theorem is presented on existence and uniqueness up to the topological *-isomorphism of universal locally C*-algebra for an arbitrary locally JB-algebra.