Notes on algebraic invariants for non-commutative dynamical systems
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We consider an algebraic invariant for non-commutative dynamical systems naturally arising as the spectrum of the modular operator associated to an invariant state, provided certain conditions of mixing type are present. This invariant turns out to be exactly the annihilator of the invariantT of Connes. Further comments are included, in particular on the type of certain algebras of local observables.
von Neumann algebras, modular invariants, 46L55, semigroup action, non-commutative dynamical systems, algebraic quantum field theory, invariant normal state, Settore MAT/05 - ANALISI MATEMATICA, weakly mixing, factor, Connes invariant, Applications of selfadjoint operator algebras to physics, 81E99, Noncommutative dynamical systems
von Neumann algebras, modular invariants, 46L55, semigroup action, non-commutative dynamical systems, algebraic quantum field theory, invariant normal state, Settore MAT/05 - ANALISI MATEMATICA, weakly mixing, factor, Connes invariant, Applications of selfadjoint operator algebras to physics, 81E99, Noncommutative dynamical systems
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