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19992015
most citedTensor products of C(X)-algebras over C(X)

47 citations · 87 across the 11 of their papers we have counts for

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11 papers · 1 filter

math.OA2015

Continuous families of properly infinite C*-algebras

Etienne Blanchard

Any unital separable continuous C(X)-algebra with properly infinite fibres is properly infinite as soon as the compact Hausdorff space X has finite topolog-ical dimension. We study…

math.OA2013

Continuous fields of properly infinite C*-algebras

Etienne Blanchard

Any unital separable continuous C(X)-algebra with properly infinite fibres is properly infinite as soon as the compact Hausdorff space X has finite topological dimension. We study…

math.OA2008

K_1-injectivity for properly infinite C*-algebras

Etienne Blanchard

One of the main tools to classify \cst-algebras is the study of its projections and its unitaries. It was proved by Cuntz in \cite{Cu81} that if is a \textit{purely infinite} s…

math.OA2008

Extension of C*-bundles

Etienne Blanchard

Different (fibrewise) amalgamated products of continuous C*-bundles have been studied over the last years, one of the main question being to know when these amalgamated products ar…

math.OA2007★ 1 cited

Properly infinite C(X)-algebras and K_1-injectivity

Etienne Blanchard, Randi Rohde, Mikael Rordam

We investigate if a unital C(X)-algebra is properly infinite when all its fibres are properly infinite. We show that this question can be rephrased in several different ways, inclu…

math.OA2006

Deformations of infinite projections

Etienne Blanchard

Let be a (semi-)continuous field of -algebras over a compact Hausdorff space and let be a projection in such that each is properly inf…