Open this publication in new window or tab >>2018 (English)In: Axioms, ISSN 2075-1680, Vol. 7, no 4, article id 79Article in journal (Refereed) Published
Abstract [en]
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 i: A× → A×, a → a-1 is continuous at 1A. 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. © 2018 by the authors.
Place, publisher, year, edition, pages
MDPI AG, 2018
Keywords
Character, Continuous inverse algebra, Dynamical system, Extension, Fixed point algebra, Maximal ideal
National Category
Algebra and Logic
Identifiers
urn:nbn:se:bth-17355 (URN)10.3390/axioms7040079 (DOI)000456944400011 ()2-s2.0-85056790615 (Scopus ID)
Note
open access
2018-11-292018-11-292019-02-21