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arxiv: 0901.1743 · v1 · submitted 2009-01-13 · 🧮 math-ph · math.MP

Translation Invariant States on Twisted Algebras on a Lattice

classification 🧮 math-ph math.MP
keywords commutationrelationsstatetwistedalgebraalgebrasappropriateconstruct
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We construct an algebra with twisted commutation relations and equip it with the shift. For appropriate irregularity of the non-local commutation relations we prove that the tracial state is the only translation-invariant state.

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