期刊论文详细信息
Canadian mathematical bulletin | |
Semicrossed Products of the Disk Algebra and the Jacobson Radical | |
Anchalee Khemphet1  Justin R. Peters1  | |
[1] Department of Mathematics, Iowa State University, Ames, Iowa, USA | |
关键词: semicrossed product; disk algebra; Jacobson radical; | |
DOI : 10.4153/CMB-2012-018-8 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
We consider semicrossed products of the disk algebra with respect toendomorphisms defined by finite Blaschke products. We characterize the Jacobson radicalof these operator algebras. Furthermore, in the case the finite Blaschke product is elliptic, we show that the semicrossed product contains no nonzero quasinilpotentelements. However, if the finite Blaschke product is hyperbolic or parabolic with positive hyperbolic step,the Jacobson radical is nonzero and a proper subset of the set of quasinilpotent elements.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050577005ZK.pdf | 11KB | download |