Year: 2017
Type: preprint
Abstract: Let $P$ be a closed convex cone in $\mathbb{R}^{n}$. Assume that $P$ is spanning i.e. $P-P=\mathbb{R}^{n}$ and pointed i.e. $P \cap -P=\{0\}$. Let $α:=\{α_{x}:x \in P\}$ be a $σ$-weakly continuous family of unital normal endomorphisms on $B(H)$. Denote the "product system" associated to $α$ by $\mathcal{E}_α$. We show that $\mathcal{E}_α$ is a concrete product system and $α$, up to cocycle conjugacy, can be recovered completely from $\mathcal{E}_α$
Source: arXiv (Cornell University)
Authors: Murugan, S. P., Sundar, S.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2625559019