Title of article
The Jacobson Radical for Analytic Crossed Products
Author/Authors
Donsig، نويسنده , , Allan P and Katavolos، نويسنده , , Aristides and Manoussos، نويسنده , , Antonios، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
17
From page
129
To page
145
Abstract
We characterise the Jacobson radical of an analytic crossed product C0(X)×φ Z+, answering a question first raised by Arveson and Josephson in 1969. In fact, we characterise the Jacobson radical of analytic crossed products C0(X)×φ 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 multidimensional version requires a variation of the notion of recurrence, taking into account the various degrees of freedom.
Keywords
semicrossed products , analytic crossed products , Jacobson radical , Recurrence , wandering sets
Journal title
Journal of Functional Analysis
Serial Year
2001
Journal title
Journal of Functional Analysis
Record number
1550627
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