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arxiv: 1404.0638 · v1 · pith:WSLBMLED · submitted 2014-04-02 · math.OA · math-ph· math.MP

A crossed product of the CAR algebra in the Cuntz algebra

Marat Aukhadiev , Alexander Nikitin , Airat Sitdikov This is my paper

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classification math.OA math-phmath.MP
keywords algebracrossedcuntzproductanticommutationcanonicalendomorphismfermion
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In this paper we show that the Cuntz algebra can be represented as a C*-crossed product by endomorphism of the canonical anticommutation relations (CAR) algebra, generated by the standard recursive fermion system.

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