A noncommutative version of the Banach-Stone theorem (II)

2001/10/24 by Bouchta Bouali, Bouali, Bouchta
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.FA #math.OA #msc:46H05 #msc:46H10 #msc:46H15

paper · pdf · doi:10.48550/arxiv.math/0110267

5 pages

arxiv created 2001/10/24 · arxiv updated 2009/11/30

Abstract

In this paper, we extend the Banach-Stone theorem to the non commutative case, i.e, we give a partial answere to the question 2.1 of [13], and we prove that the structure of the postliminal C*-algebras A determines the topology of its primitive ideals space.

Related

• A noncommutative version of the Banach-Stone Theorem
• A new proof of the noncommutative Banach-Stone theorem
• Introduction into Noncommutative Algebra, Volume 2
• An informal introduction to the ideas and concepts of noncommutative geometry
• Logic and C^*-algebras: set theoretical dichotomies in the theory of continuous quotients