Geodesic
Measurable and Continuous Units of an $E_{0}$-semigroup
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 469-478

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DOI

Let $P$ be a closed convex cone in $\mathbb{R}^{d}$ which is spanning, i.e., $P-P=\mathbb{R}^{d}$ and pointed, i.e., $P\,\cap -P=\{0\}$. Let $\unicode[STIX]{x1D6FC}:=\{{\unicode[STIX]{x1D6FC}_{x}\}}_{x\in P}$ be an $E_{0}$-semigroup over $P$ and let $E$ be the product system associated to $\unicode[STIX]{x1D6FC}$. We show that there exists a bijective correspondence between the units of $\unicode[STIX]{x1D6FC}$ and the units of $E$.
DOI : 10.4153/S0008439519000638
Mots-clés : E0 -semigroup, product system unit 
Murugan, S. P.; Sundar, S. Measurable and Continuous Units of an $E_{0}$-semigroup. Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 469-478. doi: 10.4153/S0008439519000638
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     author = {Murugan, S. P. and Sundar, S.},
     title = {Measurable and {Continuous} {Units} of an $E_{0}$-semigroup},
     journal = {Canadian mathematical bulletin},
     pages = {469--478},
     year = {2020},
     volume = {63},
     number = {2},
     doi = {10.4153/S0008439519000638},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000638/}
}
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