Morphisms of certain Banach C*-modules

TL;DR

This paper studies morphisms and representations of CQ*-algebras, a specific class of Banach C*-modules, introducing methods for their construction and extending the GNS-representation to this context.

Contribution

It provides new methods for constructing CQ*-algebras and extends the GNS-representation to this class, advancing the understanding of Banach C*-modules.

Findings

Developed a general construction method for CQ*-algebras

Presented two approaches to extend the GNS-representation

Enhanced the theoretical framework for Banach C*-modules

Abstract

Morphisms and representations of a class of Banach C*-modules, called CQ*algebras, are considered. Together with a general method for constructing CQ*-algebras, two different ways of extending the GNS-representation are presented.