Date of this Version
Journal of Functional Analysis. 2000 Math.
We characterise the Jacobson radical of an analytic crossed product C0(X) ×Ø Zd+, answering a question first raised by Arveson and Josephson in 1969. In fact, we characterise the Jacobson radical of analytic crossed products C0(X) ×Ø Zd+. This consists of all elements whose ‘Fourier coefficients’ vanish on the recurrent points of the dynamical system (and the first one is zero). The multi-dimensional version requires a variation of the notion of recurrence, taking into account the various degrees of freedom.