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

Abstract

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

35 pages

References in corpus (4)

• $C^{\ast }$-algebras associated with textile dynamical systems
• Periodic 2-graphs arising from subshifts
• $C^{\ast }$-algebras and Fell bundles associated to a textile system
• Cuntz-Krieger algebras associated with Hilbert $C^{\ast }$-quad modules of commuting matrices