A crossed product of the CAR algebra in the Cuntz algebra

2014/04/02 by Marat Aukhadiev, Aukhadiev, Marat, Alexander S. Nikitin +3
Mathematics · #46L05 #47L65 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1404.0638

openalex publication_date 2014/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Locality and the structure of particle states

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