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A Kurosh-type theorem for type III factors
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Journal Article
A Kurosh-type theorem for type III factors
2009
Overview
We prove a generalization of N. Ozawa’s Kurosh-type theorem to the setting of free products of semiexact II1\\text {II}_1 factors with respect to arbitrary (non-tracial) faithful normal states. We are thus able to distinguish certain resulting type III factors. For example, if M=LFn⊗LFmM = LF_n \\otimes LF_m and {φi}\\{\\varphi _i\\} is any sequence of faithful normal states on MM, then the ll-various (M,φ1)∗...∗(M,φl)(M,\\varphi _1) * ... * (M,\\varphi _l) are all mutually non-isomorphic.
Publisher
American Mathematical Society,American Mathematical Society, AMS
