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
A dynamical system is a triple
consisting of a unital locally convex algebra A
, a topological group G
, and a group homomorphism
that induces a continuous action of G
. Furthermore, a unital locally convex algebra A
is called a continuous inverse algebra, or CIA for short, if its group of units
is open in A
and the inversion map
is continuous at
. Given a dynamical system
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
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Wagner, S. Extending Characters of Fixed Point Algebras. Axioms 2018, 7, 79.
Wagner S. Extending Characters of Fixed Point Algebras. Axioms. 2018; 7(4):79.
Wagner, Stefan. 2018. "Extending Characters of Fixed Point Algebras." Axioms 7, no. 4: 79.
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