This volume touches upon some significant themes that have arisen
in the fields of operator algebras, low-dimensional topology and
mathematical physics. Gathering together a collection of papers
from a NATO-sponsored Advance Research Workshop, its intention is
to reveal that these seemingly diverse fields are now inextricably
interconnected. While operator algebras and mathematical physics
have enjoyed a mutually beneficial relationship dating back to the
time of von Neumann, the link between operator algebras and
low-dimensional topology only emerged with the work of Vaughan
Jones.
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