Geodesic
The Minimal Primal Ideal Space of a C*-Algebra and Local Compactness
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 440-446

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DOI

This paper is concerned with local compactness of the minimal primal ideal space of a C*-algebra, a sufficient condition is given. The property in question has bad hereditary properties as is shown by examples. 
Beckhoff, Ferdinand. The Minimal Primal Ideal Space of a C*-Algebra and Local Compactness. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 440-446. doi: 10.4153/CMB-1991-071-8
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     author = {Beckhoff, Ferdinand},
     title = {The {Minimal} {Primal} {Ideal} {Space} of a {C*-Algebra} and {Local} {Compactness}},
     journal = {Canadian mathematical bulletin},
     pages = {440--446},
     year = {1991},
     volume = {34},
     number = {4},
     doi = {10.4153/CMB-1991-071-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-071-8/}
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