Geodesic
The Topology of the Spectrum for Gelfand Pairs on Lie Groups
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 569-579 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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Given a Gelfand pair of Lie groups, we identify the spectrum with a suitable subset of $\mathbb{C}^n$ and we prove the equivalence between Gelfand topology and euclidean topology. 
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     author = {Ferrari Ruffino, Fabio},
     title = {The {Topology} of the {Spectrum} for {Gelfand} {Pairs} on {Lie} {Groups}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {569--579},
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     zbl = {1182.43012 1177.22004},
     mrnumber = {2351529},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a5/}
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Ferrari Ruffino, Fabio. The Topology of the Spectrum for Gelfand Pairs on Lie Groups. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 569-579. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a5/