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arxiv: math/0409222 · v4 · submitted 2004-09-14 · 🧮 math.OA · math-ph· math.MP

On C^*-algebras generated by some deformations of CAR relations

classification 🧮 math.OA math-phmath.MP
keywords algebrasanaloguesboundarycertainconditionsconsiderationcontinuousdeformations
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We study the representation theory and enveloping $C^*$-algebras for Wick analogues of CAR and twisted CAR algebras. The realization of the $C^*$-algebras under consideration as algebras of continuous matrix-functions satisfying certain boundary conditions is given.

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