Abstract:We show that if Y is the Hausdorffization of the primitive spectrum of a $C^{*}$-algebra $A$ then $A$ is $*$-isomorphic to the $C^{*}$-algebra of sections vanishing at infinity of the canonical $C^{*}$-bundle over $Y$.
Keywords: $C^{*}$-algebra, $C^{*}$-bundle, sectional representation
AMS Subject Classification: 46L05, 46L85