@article{oai:ynu.repo.nii.ac.jp:00006653,
 author = {Nakagami, Yoshiomi},
 issue = {2},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, Some supplementary results to our previous papers are given. The outer conjugacy between covariant systems corresponds to the conjugacy between covariant systems of the crossed products. The integrability of an action ＄￥alpha＄ with ＄￥leftarrow Z^{a}＄ properly infinite is characterized by ＄t_{￥vee}￥prime ￥mathfrak{S}￥ovalbox{￥tt￥small REJECT}(H),￥overline{￥alpha}＄} ＄￥cong＄ ＄￥{-J￥overline{￥otimes}￥ovalbox{￥tt￥small REJECT}￥lambda H),￥tilde{a}￥}_{e}＄ for some projection ＄e＄ in the crossed product ＄￥ovalbox{￥tt￥small REJECT}^{*}(￥vee'.K, a)＄ . Every action (or co-action of a locally compact group) is implemented by a unitary whenever the von Neumann algebra is properly infinite and standard. The definition of inner tensor products ＄￥alpha_{1}*￥alpha_{2}＄ of actions ＄￥alpha_{1}＄ and ＄￥alpha_{2}＄ and some related properties are discussed. If ＄￥alpha＄ is dual, then ＄( ^{a})^{￥prime}￥cap ￥subset￥vee'￥alpha＄ is equivalent to ＄￥alpha(￥ovalbox{￥tt￥small REJECT})^{￥prime}￥cap￥ovalbox{￥tt￥small REJECT}^{*}(￥alpha)￥subset￥ovalbox{￥tt￥small REJECT}^{*}(￥alpha)^{￥prime}＄ .},
 pages = {141--162},
 title = {SOME REMARKS ON CROSSED PRODUCTS OF VON NEUMANN ALGEBRAS BY KAC ALGEBRAS},
 volume = {27},
 year = {1979}
}