@article{oai:ynu.repo.nii.ac.jp:00006641, author = {Nakagami, Yoshiomi and Oka, Yukimasa}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Let alpha^{j}(j-1,2) be actions of a locally compact abelian group G on von Neumann algebras vee nearrow swarrow_{j} satisfying alpha_{j}(ovalbox{ttsmall REJECT}_{j})^{prime}cap(_{c_{wedge}}ovalbox{ttsmall REJECT}_{j}times alpha jG)=tau_{ovalbox{tt small REJECT}_{j^{times} alpha^{j^{G}}}}^{p}, . 1f (alpha^{1}otimesalpha^{2})_{t}=alpha_{t}^{1}otimes alpha_{t}^{2} , then Gamma(alpha^{1}otimes alpha^{2}) is the set of all p in G such that alpha_{p}^{1}otimes ell is trivial on the fixed point algebra of the center of (ovalbox{ttsmall REJECT}_{1}times alpha^{1}G)otimes^{-}(leftarrow ovalbox{ttsmall REJECT}_{2}times alpha^{2}G) with respect to the action hat{alpha}_{p}=hat{alpha}_{p}^{1}otimes hat{alpha}_{-p}^{2} . Let beta^{j}(j=1,2) be ergodic actions of G on von Neumann algebras vee phi_{j}^{prime}. If H^{2}(G, mathbb{T})={0} and both beta^{1} and beta^{2} have invariant faithful normal states, then (leftrightarrow.r_{1}otimes_{c}Lambda_{2}^{wedge})^{beta}- is abelian, where beta_{t}=beta_{t}^{1}otimes beta_{-t}^{2}.}, pages = {189--200}, title = {ON CONNES SPECTRUM Γ OF A TENSOR PRODUCT OF ACTIONS ON VON NEUMANN ALGEBRAS}, volume = {26}, year = {1978} }