A construction of pro-C*-algebras from pro-C*-correspondences

TL;DR

This paper introduces a method to construct pro-C*-algebras from pro-C*-correspondences, generalizing existing constructions like crossed products by Hilbert pro-C*-bimodules and automorphisms.

Contribution

It provides a unified framework for constructing pro-C*-algebras from pro-C*-correspondences, extending previous methods in the field.

Findings

Constructs pro-C*-algebras from pro-C*-correspondences.

Generalizes crossed product constructions.

Unifies various existing algebraic constructions.

Abstract

We associate a pro-C*-algebra to a pro-C*-correspondence and show that this construction generalizes the construction of crossed products by Hilbert pro-C*-bimodules and the construction of pro-C*-crossed products by strong bounded automorphisms.