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

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

2011-05-24

arxiv.org/abs/1105.4843v1

Mathematics

Operator Algebras

Scientific paper

We introduce C*-algebras over C_{\infty}(Q,C) as Banach-Kantorovich *-algebras over the algebra C_{\infty}(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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