The Jacobson radical for analytic crossed products

Donsig AP, Katavolos A, Manoussos A (2000)
arXiv: math/0010142.

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We characterise the (Jacobson) radical of the analytic crossed product ofC_0(X) by the non-negative integers (Z_+), answering a question first raised byArveson and Josephson in 1969. In fact, we characterise the radical of analyticcrossed products of C_0(X) by (Z_+)^d. The radical consists of all elementswhose `Fourier coefficients' vanish on the recurrent points of the dynamicalsystem (and the first one is zero). The multi-dimensional version requires avariation of the notion of recurrence, taking into account the various degreesof freedom.
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Donsig AP, Katavolos A, Manoussos A. The Jacobson radical for analytic crossed products. arXiv: math/0010142. 2000.
Donsig, A. P., Katavolos, A., & Manoussos, A. (2000). The Jacobson radical for analytic crossed products. arXiv: math/0010142
Donsig, A. P., Katavolos, A., and Manoussos, A. (2000). The Jacobson radical for analytic crossed products. arXiv: math/0010142.
Donsig, A.P., Katavolos, A., & Manoussos, A., 2000. The Jacobson radical for analytic crossed products. arXiv: math/0010142.
A.P. Donsig, A. Katavolos, and A. Manoussos, “The Jacobson radical for analytic crossed products”, arXiv: math/0010142, 2000.
Donsig, A.P., Katavolos, A., Manoussos, A.: The Jacobson radical for analytic crossed products. arXiv: math/0010142. (2000).
Donsig, Allan P., Katavolos, Aristides, and Manoussos, Antonios. “The Jacobson radical for analytic crossed products”. arXiv: math/0010142 (2000).
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