An elementary proof of Fell's theorem on models of homogeneous $C^*$-algebras is presented. A spectral theorem and a functional calculus for finite systems of elements which generate homogeneous $C^*$-algebras are proposed.
"Elementary approach to homogeneous $C^*$-algebras." Rocky Mountain J. Math. 45 (5) 1591 - 1630, 2015. https://doi.org/10.1216/RMJ-2015-45-5-1591