\(C^\ast\)-algebras associated with Hilbert \(C^\ast\)-quad modules of finite type (Q2448850)

Summary: A Hilbert \(C^\ast\)-quad module of finite type has a multistructure 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.