C-Algebras Associated with Hilbert C-Quad Modules of Finite Type

C-Algebras Associated with Hilbert C-Quad Modules of Finite Type

A Hilbert C∗-quad module of finite type has a multistructure 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 Hilb...

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2014, Vol.2014 (2014), p.566-586
1. Verfasser: Matsumoto, Kengo
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Construction
Dynamical systems
Generators
Mathematical analysis
Modules
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Zusammenfassung:A Hilbert C∗-quad module of finite type has a multistructure 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.
ISSN:0161-1712
1687-0425
DOI:10.1155/2014/952068