Extension of anti-automorphisms and PCT-symmetry

Authors
Conti, R D'Antoni, C
Citation
R. Conti et C. D'Antoni, Extension of anti-automorphisms and PCT-symmetry, REV MATH PH, 12(5), 2000, pp. 725-738
Citations number
34
Categorie Soggetti
Physics
Journal title
REVIEWS IN MATHEMATICAL PHYSICS
ISSN journal
0129055X → ACNP
Volume
12
Issue
5
Year of publication
2000
Pages
725 - 738
Database
ISI
SICI code
0129-055X(200005)12:5<725:EOAAP>2.0.ZU;2-7
Abstract
We study conditions for an anti-automorphism of a C*-algebra to extend to t he cross-product by a compact group dual action. As a byproduct, we show th at under a few natural assumptions any PCT transformation theta of U, the o bservable net of a local QFT, extends to the canonical field net F. Then we discuss the validity of the relation [theta rho theta(-1)] = [rho] for eve ry DHR morphism rho of U with finite statistics.