Journal of Operator Theory
Volume 75, Issue 1, Winter 2016 pp. 151-162.
Continuous families of properly infinite
$C^\ast$-algebras
Authors:
Etienne Blanchard
Author institution: IMJ-PRG, University Paris Diderot -
Campus des Grands Moulins, Case~7012, 75205 Paris cedex 13, France
Summary: 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 conditions under which this is still the case
if the compact space $X$ has infinite topological dimension.
DOI: http://dx.doi.org/10.7900/jot.2014dec10.2081
Keywords: $C^*$-algebra, classification, proper infiniteness
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