DTC MATH 11 - Quasi-free states on the algebra of the anyon commutation relations
Anyon statistics are intermediate statistics between Fermi and Bose statistics and they have been used by physicists to describe the quantum Hall effect. Mathematically anyon statistics are described by operator algebras generated by certain creation and annihilation operators satisfying the q-commutation relations with q complex of modulus one. You will study representations of the q-commutation relations related to quasi-free states on the anyon algebra.
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