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Some metric characterizations of commutativity in C*-algebras [PDF]

open access: yesSurveys in Mathematics and its Applications
We study Le Page's theorem in the context of C*-algebras and obtain several characterizations of commutativity and centrality implied by identities or inequalities satisfied by the norm.
Florin Pop
doaj  

When left and right disagree: entropy and von Neumann algebras in quantum gravity with general AlAdS boundary conditions

open access: yesJournal of High Energy Physics
Euclidean path integrals for UV-completions of d-dimensional bulk quantum gravity were recently studied in [1] by assuming that they satisfy axioms of finiteness, reality, continuity, reflection-positivity, and factorization.
Donald Marolf, Daiming Zhang
doaj   +1 more source

Local Poincaré algebra from quantum chaos

open access: yesJournal of High Energy Physics
The local two-dimensional Poincaré algebra near the horizon of an eternal AdS black hole, or in proximity to any bifurcate Killing horizon, is generated by the Killing flow and outward null translations on the horizon.
Shoy Ouseph   +4 more
doaj   +1 more source

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