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Subtriviality of continuous fields of nuclear C*--algebras

Operator Algebras 2016-09-07 v1

Abstract

We extend in this paper the characterisation of a separable nuclear \cst-algebra given by Kirchberg proving that given a unital separable continuous field of nuclear C*-algebras A over a compact metrizable space X, the C(X)-algebra A is isomorphic to a unital C(X)-subalgebra of the trivial continuous field C(X;O_2), image of C(X;O_2) by a norm one projection.

Keywords

Cite

@article{arxiv.math/0012128,
  title  = {Subtriviality of continuous fields of nuclear C*--algebras},
  author = {Etienne Blanchard},
  journal= {arXiv preprint arXiv:math/0012128},
  year   = {2016}
}

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17 pagesx