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On the Group Theoretic Approach to the Canonical Anticommutation Relations

On the Group Theoretic Approach to the Canonical Anticommutation Relations

In [1] Slawny formulated the C* algebra of the CAR and CCR as twisted group C* algebras for certain abelian groups.In this note we extend his work, in the case of the CAR algebra, by applying some recent results from the projective representation theory of abelian groups.We show that the …