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

Kengo Matsumoto

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

Operator Algebras 2013-10-01 v1

Authors: Kengo Matsumoto

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.

Keywords

C*-algebras Hilbert C*-quad modules Hilbert C*-bimodules finite type universality generators relations

Cite

@article{arxiv.1309.7704,
  title  = {C*-algebras associated with Hilbert C*-quad modules of finite type},
  author = {Kengo Matsumoto},
  journal= {arXiv preprint arXiv:1309.7704},
  year   = {2013}
}

Comments

35 pages

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