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Extending characters of fixed point algebras
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
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. Vol. 7, no 4, article id 79
Keywords [en]
Character, Continuous inverse algebra, Dynamical system, Extension, Fixed point algebra, Maximal ideal
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-17355DOI: 10.3390/axioms7040079Scopus ID: 2-s2.0-85056790615OAI: oai:DiVA.org:bth-17355DiVA, id: diva2:1266874
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open access

Available from: 2018-11-29 Created: 2018-11-29 Last updated: 2018-11-29

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Wagner, Stefan

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12345674 of 28
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  • apa
  • harvard1
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  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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