On a class of $C^*$-algebras determined uniquely by dual space

Abstract

Enveloping $C^*$-algebras for some finitely generated $*$-algebras are considered. It is shown that all of the considered algebras are identically defined by their dual spaces. The description in terms of matrix-functions is given. Keywords : algebraic bundles, finitely represented $C^*$-algebras, dual spaces.