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@incollection{faucris.308945702,
abstract = {In this chapter, we review our recent work on the causal structure of symmetric spaces and related geometric aspects of algebraic quantum field theory. Motivated by some general results on modular groups related to nets of von Neumann algebras, we focus on Euler elements of the Lie algebra, i.e., elements whose adjoint action defines a 3-grading. We study the wedge regions they determine in corresponding causal symmetric spaces and describe some methods to construct nets of von Neumann algebras on causal symmetric spaces that satisfy abstract versions of the Reeh–Schlieder and the Bisognano–Wichmann condition.},
author = {Neeb, Karl Hermann and Ólafsson, Gestur},
booktitle = {Geometric Methods in Physics XXXIX. WGMP 2022},
doi = {10.1007/978-3-031-30284-8{\_}20},
editor = {Kielanowski, P., Dobrogowska, A., Goldin, G.A., Goliński, T.},
faupublication = {yes},
keywords = {Algebras of local observables; Causal symmetric space; Euler element; Quantum field theory; Standard subspace},
note = {CRIS-Team Scopus Importer:2023-08-11},
pages = {207-231},
peerreviewed = {unknown},
publisher = {Springer Science and Business Media Deutschland GmbH},
series = {Trends in Mathematics},
title = {{Algebraic} {Quantum} {Field} {Theory} and {Causal} {Symmetric} {Spaces}},
volume = {Part F1183},
year = {2023}
}