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May 11, 2020 at 16:55 comment added Robert Furber If anyone wants a more specific reference that's open to the public, there's this article by Takesaki. Specifically, apply the main theorem using the trace as the semifinite normal weight, and observe that the modular automorphism group is trivial for a trace, so the invariance condition is automatic. The proof can be done more simply in this case, and makes a nice exercise in understanding the general case.
Dec 13, 2019 at 3:50 review Late answers
Dec 13, 2019 at 4:26
Dec 13, 2019 at 3:32 history answered Darth Vader CC BY-SA 4.0