Canadian mathematical bulletin | |
Essential Commutants of Semicrossed Products | |
Kei Hasegawa1  | |
[1] Graduate School of Mathematics, Kyushu University, Fukuoka 819-0395, Japan | |
关键词: essential commutant; semicrossed product; | |
DOI : 10.4153/CMB-2014-057-x | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
Let $alphacolon Gcurvearrowright M$ be a spatial action of countableabelian group on a "spatial" von Neumann algebra $M$ and $S$ be itsunital subsemigroup with $G=S^{-1}S$. We explicitly compute theessential commutant and the essential fixed-points, modulo theSchatten $p$-class or the compact operators, of the w$^*$-semicrossedproduct of $M$ by $S$ when $M'$ contains no non-zero compactoperators. We also prove a weaker result when $M$ is a von Neumannalgebra on a finite dimensional Hilbert space and$(G,S)=(mathbb{Z},mathbb{Z}_+)$, which extends a famous result dueto Davidson (1977) for the classical analytic Toeplitz operators.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912050577106ZK.pdf | 17KB | download |