A tensor product of representations of Cuntz algebras

2006/11/04 by Katsunori Kawamura, Kawamura, Katsunori
Mathematics · #47L55 #81T05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.math/0611098

openalex publication_date 2006/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a nonsymmetric, associative tensor product among representations of Cuntz algebras by using embeddings. We show the decomposition formulae of tensor products for permutative representations explicitly We apply decomposition formulae to determine properties of endomorphisms.

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