  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.
