C*-algebras associated with Hilbert C*-quad modules of finite type

2013/09/30 by Kengo Matsumoto, Matsumoto, Kengo
Mathematics · #46L08 #46L35 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.OA #msc:46L08 #msc:46L35

paper · pdf · doi:10.48550/arxiv.1309.7704

35 pages

arxiv created 2013/09/30 · openalex publication_date 2013/09/30 · arxiv updated 2013/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Hilbert C^*-quad module of finite type has a multi structure of Hilbert C^*-bimodules with two finite bases. We will construct a C^*-algebra from a Hilbert C^*-quad module of finite type and prove its universality subject to certain relations among generators. Some examples of the C^*-algebras from Hilbert C^*-quad modules of finite type will be presented.

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