On continuous fiber bundles of C*-algebras over Stonean compact

2011/05/24 by Alexander A. Katz, Katz, Alexander A., Р. М. Кушнір +2
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Primary 46L05 #Secondary 46A19 #math.OA #msc:46A19 #msc:46L05

paper · pdf · doi:10.48550/arxiv.1105.4843

arxiv created 2011/05/24 · openalex publication_date 2011/05/24 · arxiv updated 2011/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce C*-algebras over C_∞(Q,C) as Banach-Kantorovich *-algebras over the algebra C_∞(Q,C) of extended continuous complex-valued functions, defined on comeager subsets of Stonean compact Q, whose norm satisfies conditions similar to the axioms of C*-algebras, and show that such algebras can be uniquely up to a Q-C*-isomorphism represented by means of a continuous complete fiber bundle of C*-algebras over Q.

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