Journal of Operator Theory

Volume 59, Issue 2, Spring 2008 pp. 417-430.

A Gelfand-Naimark theorem for some $C^*$-algebras with finite dimensional irreducible representations

Authors: Aldo J. Lazar
Author institution: School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel

Summary: We present a description of the $C^*$-algebras with Hausdorff spectrum whose all irreducible representations are finite-dimensional as algebras of continuous cross-sections of certain Banach bundles, thus generalizing a well-known result of \cite{F1} and \cite{TT} on homogeneous $C^*$-algebras.

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