The theme of the first Abel Symposium was operator algebras in a
wide sense. In the last 40 years operator algebras have developed
from a rather special discipline within functional analysis to
become a central field in mathematics often described as
"non-commutative geometry." It has branched out in several
sub-disciplines and made contact with other subjects. The
contributions to this volume give a state-of-the-art account of
some of these sub-disciplines and the variety of topics reflect to
some extent how the subject has developed. This is the first volume
in a prestigious new book series linked to the Abel prize.
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