Next Article in Journal
On the Fixed-Circle Problem and Khan Type Contractions
Next Article in Special Issue
Selectively Pseudocompact Groups without Infinite Separable Pseudocompact Subsets
Previous Article in Journal
Consistency Properties for Fuzzy Choice Functions: An Analysis with the Łukasiewicz T-Norm
Previous Article in Special Issue
A Note on the Topological Group c0
Article Menu

Export Article

Open AccessArticle
Axioms 2018, 7(4), 79; https://doi.org/10.3390/axioms7040079

Extending Characters of Fixed Point Algebras

Department of Mathematics and Natural Sciences, Blekinge Tekniska Högskola, 371 41 Karlskrona, Sweden
Received: 13 October 2018 / Revised: 2 November 2018 / Accepted: 5 November 2018 / Published: 7 November 2018
(This article belongs to the Collection Topological Groups)
Full-Text   |   PDF [207 KB, uploaded 7 November 2018]

Abstract

A dynamical system is a triple ( A , G , α ) consisting of a unital locally convex algebra A, a topological group G, and a group homomorphism α : G Aut ( A ) that induces a continuous action of G on A. Furthermore, a unital locally convex algebra A is called a continuous inverse algebra, or CIA for short, if its group of units A × is open in A and the inversion map ι : A × A × , a a 1 is continuous at 1 A . Given a dynamical system ( A , G , α ) with a complete commutative CIA A and a compact group G, we show that each character of the corresponding fixed point algebra can be extended to a character of A. View Full-Text
Keywords: dynamical system; continuous inverse algebra; character; maximal ideal; fixed point algebra; extension dynamical system; continuous inverse algebra; character; maximal ideal; fixed point algebra; extension
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Wagner, S. Extending Characters of Fixed Point Algebras. Axioms 2018, 7, 79.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top