Essential commutants of semicrossed products
| Autor: | Hasegawa, Kei |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Can. Math. Bull. 58 (2015) 91-104 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4153/CMB-2014-057-x |
| Popis: | Let $\alpha:G \curvearrowright M$ be a spatial action of countable abelian group on a "spatial" von Neumann algebra $M$ and $S$ be its unital subsemigroup with $G=S^{-1}S$. We explicitly compute the essential commutant and the essential fixed-points, modulo the Schatten $p$-class or the compact operators, of the w$^*$-semicrossed product of $M$ by $S$ when $M'$ contains no non-zero compact operators. We also prove a weaker result when $M$ is a von Neumann algebra on a finite dimensional Hilbert space and $(G,S)=(\mathbb{Z},\mathbb{Z}_{+})$, which extends a famous result due to Davidson (1977) for the classical analytic Toeplitz operators. Comment: 13 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|