@article {
author = {Wang, Z. and Zhang, J.},
title = {Dilations for $C^ast$-dynamical systems with abelian groups on Hilbert $C^ast$-modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {5},
pages = {1313-1321},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper we investigate the dilations of completely positive definite representations of \(C^\ast\)-dynamical systems with abelian groups on Hilbert \(C^\ast\)-modules. We show that if \((\mathcal{A}, G,\alpha)\) is a \(C^\ast\)-dynamical system with \(G\) an abelian group, then every completely positive definite covariant representation \((\pi,\varphi,E)\) of \((\mathcal{A}, G,\alpha)\) on a Hilbert \(C^\ast\)-module \(E\) admits an unitary dilation $((\hat{\pi},\hat{\varphi},\hat{E})).$},
keywords = {Dilation,covariant representation,$C^ast$-dynamical system,Hilbert $C^ast$-module},
url = {http://bims.iranjournals.ir/article_1026.html},
eprint = {http://bims.iranjournals.ir/article_1026_7331f04fa6ff4e9f75048878a153860b.pdf}
}