The Jacobson Radical for Analytic Crossed Products

✍ Scribed by Allan P Donsig; Aristides Katavolos; Antonios Manoussos

• Book ID: 102588299
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 199 KB
• Volume: 187
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.2001.3819

✦ Synopsis

We characterise the Jacobson radical of an analytic crossed product C 0 (X) × f Z + , answering a question first raised by Arveson and Josephson in 1969. In fact, we characterise the Jacobson radical of analytic crossed products C 0 (X) × f Z d + . 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.