A tensor product of representations of UHF algebras arising from Kronecker products

2009/10/08 by Katsunori Kawamura, Kawamura, Katsunori
Mathematics · #46K10 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0910.1420

openalex publication_date 2009/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a non-symmetric tensor product of representations of UHF algebras by using Kronecker products of matrices. We prove tensor product formulae of GNS representations by product states and show examples.

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