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Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems
non-commutative tori asymptotic model q-circular systems
2010/10/29
We consider the concept of a q-circular system, which is a deformation of the circular system from free probability, taking place in the framework of the so-called 'q-commutation relations'. We show ...
An Algebraic Duality Theory for Multiplicative Unitaries
Algebraic Duality Theory Multiplicative Unitaries
2010/10/29
Multiplicative Unitaries are described in terms of a pair of commuting shifts of relative depth two. They can be generated from ambidextrous Hilbert spaces in a tensor C*-category. The algebraic anal...