Quantum theory is one of the most important intellectual
developments in the early twentieth century. The confluence of
mathematics and quantum physics emerged arguably from Von Neumann's
seminal work on the spectral theory of linear operators. This
volume arose from a two-month workshop held at the Institute for
Mathematical Sciences at the National University of Singapore in
JulySeptember 2008 on mathematical physics, focusing specifically
on operator algebras in quantum theory.
This volume is essentially written for graduate students and
young researchers so that they can acquire a gentle introduction to
the application of operator algebras to quantum information
sciences, chaotic and many-body problems. Several lecture notes
delivered during the workshop by experts in the field were
specially commissioned for this volume.
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