9 Extension of representations in quasi * - algebras
نویسنده
چکیده
Let (A,Ao) be a topological quasi *-algebra, which means in particular that Ao is a topological *-algebra, dense in A. Let πo be a *-representation of Ao in some pre-Hilbert space D ⊂ H. Then we present several ways of extending πo, by closure, to some larger quasi *-algebra contained in A, either by Hilbert space operators, or by sesquilinear forms on D. Explicit examples are discussed, both abelian and nonabelian, including the CCR algebra. E-mail: [email protected] [email protected] [email protected] UCL-IPT-96-18 November 1996
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