Mathematics – Operator Algebras
Scientific paper
2007-04-12
J. Noncommutative Geometry 2 (2008), no. 3, 263-282
Mathematics
Operator Algebras
19 pages
Scientific paper
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 C*-algebra 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.
Blanchard Etienne
Rohde Randi
Rordam Mikael
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