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Chandrasekaran, Venkatesa; Longo, Roberto; Penington, Geoff; Witten, Edward (, Journal of High Energy Physics)A bstract We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II 1 . There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II 1 algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy S gen = ( A/ 4 G N ) + S out . An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II 1 algebra.more » « less
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Longo, Roberto; Xu, Feng (, Communications in Mathematical Physics)
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Longo, Roberto; Xu, Feng (, Advances in Mathematics)
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