On the Algebra of Unharmonic Quantum Oscillator
نویسندگان
چکیده
In present work we consider C∗-algebras C∗(Af ) associated with simple unimodal nonbijective dynamical system (f,R) with special requirements. In the case when f is polynomial, Af = C〈X,X∗| XX∗ = f(X∗X)〉 and C∗(Af ) is its enveloping C∗-algebra. As typical examples we consider one-parameter family fμ(x) = μx(1 − x) and two-parameter family called Unharmonic Quantum Oscillator fp,q(x) = 1+ px− qx. The crossed product structure of C∗(Af ) is investigated. As a consequence we describe complete isomorphism invariant in terms of corresponding dynamical systems.
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