Subtriviality of continuous fields of nuclear C*-algebras.

By É. Blanchard. 2000

48 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7e5e787c20df9557c9c15e4e8f10a581b6d2745e

How researchers see this paper

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In Algebra and Number Theory

1. Marius Dadarlat
2. Frederic Pierre Jean Latrémolière
3. W. Winter

In Mathematical Physics

1. Marius Dadarlat
2. Frederic Pierre Jean Latrémolière
3. Rufus Willett
4. W. Winter
5. E. Guentner
6. Martin Finn-Sell
7. Nathanial P. Brown Narutaka Ozawa

Citations in the corpus

• Continuous fields of C*-algebras over finite dimensional spaces (2006, methodology): “The author is grateful to E. Blanchard, L. G. Brown and N. C. Phillips for useful discussions and comments.”
• The Quantum Gromov-Hausdorff Propinquity (2013, background): “Indeed, a deep result of Blanchard [4], which builds upon a remarkable observation of Haagerup and Rørdam [19], shows that continuous fields of nuclear C*-algebras over compact metric spaces can be sub-trivialized [4].”