Some structure properties of CQ * -algebras are investigated. The usual multiplication of a quasi *-algebra is generalized by introducing a weak- and strong product. The *-semisemplicity is defined via a suitable family of positive sesquilinear forms and some consequences of this notion are derived. The basic elements of a functional calculus on these partial algebraic structures are discussed.
Cite this article
Fabio Bagarello, Camillo Trapani, CQ*-Algebras: Structure Properties. Publ. Res. Inst. Math. Sci. 32 (1996), no. 1, pp. 85–116DOI 10.2977/PRIMS/1195163181