One-parameter representations on C*-algebras

TL;DR

This paper investigates strongly continuous one-parameter representations on C*-algebras, their extension to multiplier algebras, and provides a proof of Stone's theorem within the context of Hilbert C*-modules.

Contribution

It offers new insights into the extension of one-parameter representations and presents a proof of Stone's theorem tailored for Hilbert C*-modules.

Findings

Extension of one-parameter representations to multiplier algebras

Proof of Stone's theorem for Hilbert C*-modules

Analysis of related problems in C*-algebra theory

Abstract

Strongly continuous one-parameter representations on C*-algebras and their extension to the multiplier algebra are investigated. We give also a proof of the Stone theorem on Hilbert C*-modules and look into some related problems.