Janusz Migda
Non-commutative Gelfand-Naimark theorem

Comment.Math.Univ.Carolinae 34,2 (1993) 253-255.

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

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