From dynamical systems to commutativity in non-commutative operator algebras
This article is devoted to investigation of connection of operator representations of commutation relations XX*=F(X*X) and AB = BF(A) to periodic points and orbits of the dynamical system generated by the function F. Conditions on the general function F for two monomials in operators A and B to commute are derived. These conditions are further studied for dynamical systems generated by affine and
