The Jacobson Radical for Analytic Crossed Products
We characterise the Jacobson radical of an analytic crossed product C0(X)×φZ+, answering a question first raised by Arveson and Josephson in 1969. In fact, we characterise the Jacobson radical of analytic crossed products C0(X)×φZd+. This consists of all elements whose “Fourier coefficients” vanish...
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| Veröffentlicht in: | Journal of functional analysis 2001-12, Vol.187 (1), p.129-145 |
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| container_title | Journal of functional analysis |
| container_volume | 187 |
| creator | Donsig, Allan P Katavolos, Aristides Manoussos, Antonios |
| description | We characterise the Jacobson radical of an analytic crossed product C0(X)×φZ+, answering a question first raised by Arveson and Josephson in 1969. In fact, we characterise the Jacobson radical of analytic crossed products C0(X)×φZd+. This consists of all elements whose “Fourier coefficients” vanish on the recurrent points of the dynamical system (and the first one is zero). The multidimensional version requires a variation of the notion of recurrence, taking into account the various degrees of freedom. |
| doi_str_mv | 10.1006/jfan.2001.3819 |
| format | Article |
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| ispartof | Journal of functional analysis, 2001-12, Vol.187 (1), p.129-145 |
| issn | 0022-1236 1096-0783 |
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| source | Elsevier ScienceDirect Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | analytic crossed products Jacobson radical recurrence semicrossed products wandering sets |
| title | The Jacobson Radical for Analytic Crossed Products |
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