@article{oai:nagoya.repo.nii.ac.jp:00028449, author = {Tomatsu, Reiji and Ueda, Yoshimichi}, issue = {3}, journal = {Kyoto Journal of Mathematics}, month = {}, note = {We prove that, for any type III1 free product factor, its continuous core is full if and only if its τ-invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for free Araki–Woods factors. Moreover, our method shows the same result for full (generalized) Bernoulli crossed product factors of type III1.}, pages = {599--610}, title = {A characterization of the fullness of continuous cores of type III1 free product factors}, volume = {56}, year = {2016} }