期刊论文详细信息
Proceedings of the Indian Academy of Sciences. Mathematical sciences | |
An essential representation for a product system over a finitely generated subsemigroup of $\mathbb{Z}^{d}$ | |
S P MURUGAN^11  | |
[1] Chennai Mathematical Institute, Siruseri, Chennai 603 103, India^1 | |
关键词: $E^{P}_{0}$ -semigroups; essential representations; product systems; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
Let $S \subset \mathbb{Z}^{d}$ be a finitely generated subsemigroup. Let $E$ be a product system over $S$. We show that there exists an infinite dimensional separable Hilbert space $\mathcal{H}$ and a semigroup $\alpha := \{\alpha_{x}\}_{x\in S}$ of unital normal $\ast$-endomorphisms of $B(\mathcal{H})$ such that $E$ is isomorphic to the product system associated to $\alpha$.
【 授权许可】
CC BY
【 预 览 】
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RO201910255117395ZK.pdf | 2906KB | download |