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Article Dans Une Revue J. Non Commut. Geom. Année : 2008

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

Résumé

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, including the question if every unital properly infinite \Cs{} is $K_1$-injective. We provide partial answers to these questions, and we show that the general question on proper infiniteness of $C(X)$-algebras can be reduced to establishing proper infiniteness of a specific $C([0,1])$-algebra with properly infinite fibres.
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Dates et versions

hal-00922854 , version 1 (03-01-2014)

Identifiants

  • HAL Id : hal-00922854 , version 1

Citer

Etienne Blanchard, Randi Rohde, Mikael Rørdam. Properly infinite C(X)-algebras and K_1-injectivity. J. Non Commut. Geom., 2008, 2, pp.263--282. ⟨hal-00922854⟩
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