EXTENSION OF ANTI-AUTOMORPHISMS AND PCT-SYMMETRY-Reference-Cited by-同舟云学术

EXTENSION OF ANTI-AUTOMORPHISMS AND PCT-SYMMETRY

Published:2000-05 Issue:05 Volume:12 Page:725-738
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

CONTI ROBERTO¹,D'ANTONI CLAUDIO¹

Affiliation:

1. Dipartimento di Matematica, Università di Roma, "Tor Vergata", Via della Ricerca Scientifica, I-00133 Roma, Italy

Abstract

We study conditions for an anti-automorphism of a C*-algebra to extend to the cross-product by a compact group dual action. As a byproduct, we show that under a few natural assumptions any PCT transformation θ of [Formula: see text], the observable net of a local QFT, extends to the canonical field net [Formula: see text]. Then we discuss the validity of the relation [Formula: see text] for every DHR morphism ρ of [Formula: see text] with finite statistics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X00000253

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1. Group automorphisms preserving equivalence classes of unitary representations;Forum Mathematicum;2004-01-30

2. COVARIANT REPRESENTATIONS FOR COACTIONS OF HOPF ${\rm C}^*$-ALGEBRAS;Bulletin of the London Mathematical Society;2003-03

3. Classification of Subsystems for Local Nets¶with Trivial Superselection Structure;Communications in Mathematical Physics;2001-02