Quantum Symmetries on Operator Algebras

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The study of operator algebras took a new turn with the introduction in 1981 by Vaughan Jones of subfactor theory and remarkable connections were found with knot theory, 3-manifolds, quantum groups and integrable systems in statistical mechanics and conformal field theory. This is the first book to look at these developments, particularly the combinatorial-algebraic aspects, from the perspective of operator algebras--to bring the reader to the frontline of research with the minimum of prerequisites from the classical theory.