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The book contains seven refereed research papers on locally compact
quantum groups and groupoids by leading experts in the respective
fields. These contributions are based on talks presented on the
occasion of the meeting between mathematicians and theoretical
physicists held in Strasbourg from February 21 to February 23,
2002. Topics covered are: various constructions of locally compact
quantum groups and their multiplicative unitaries; duality theory
for locally compact quantum groups; combinatorial quantization of
flat connections associated with SL(2,c); quantum groupoids,
especially coming from Depth 2 Extensions of von Neumann algebras,
C*-algebras and Rings. Many mathematical results are motivated by
problems in theoretical physics. Historical remarks set the results
presented in perspective. Directed at research mathematicians and
theoretical physicists as well as graduate students, the volume
will give an overview of a field of research in which great
progress has been achieved in the last few years, with new ties to
many other areas of mathematics and physics.
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