Conformal Nets, Maximal Temperature and Models from Free Probability

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dc.creatorD'Antoni, C.
dc.creatorLongo, R.
dc.creatorRadulescu, F.
dc.date1998-10-01
dc.date.accessioned2026-07-07T05:26:16Z
dc.date.available2026-07-07T05:26:16Z
dc.descriptionWe consider conformal nets on $S^1$ of von Neumann algebras, acting on the full Fock space, arising in free probability. These models are twisted local, but non-local. We extend to the non-local case the general analysis of the modular structure. The local algebras turn out to be $III_1$-factors associated with free groups. We use our set up to show examples exhibiting arbitrarily large maximal temperatures, but failing to satisfy the split property, then clarifying the relation between the latter property and the trace class conditions on $e^{-\b L}$, where $L$ is the conformal Hamiltonian.
dc.descriptionAMS-LaTeX 2e, 16 pages
dc.identifierhttps://arxiv.org/abs/math/9810003
dc.identifierhttp://arxiv.org/abs/math/9810003
dc.identifierJ. Operator Theory 45 (2001), no. 1, 195-208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77488
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subject46L50 (Primary) 81T05 (Secondary)
dc.titleConformal Nets, Maximal Temperature and Models from Free Probability
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