Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems

Details Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems

2000-01-18

arxiv.org/abs/math/0001098v1

Indiana University Mathematical Journal, 50 (2001), 953-987

Mathematics

Operator Algebras

32 pages, LaTeX 2.09

Scientific paper

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 that certain averages of random
unitaries in non-commutative tori behave asymptotically like a q-circular
system.

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