A noncommutative version of the Banach-Stone Theorem

2001/09/28 by Bouchta Bouali, Bouali, Bouchta
Mathematics · #46H05 #46H10 #46H15 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46H05 #msc:46H10 #msc:46H15

paper · pdf · doi:10.48550/arxiv.math/0109226

6 pages

arxiv created 2001/09/28 · arxiv updated 2009/11/30

Abstract

In this paper, we extend the Banach-Stone theorem to the non commutative case, i.e, we prove that the structure of the liminal C^*-algebras \cal A determines the topology of its primitive ideal space.

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