Timeline for If the flip automorphism of a finite factor can be connected to the identity is it approximately inner?
Current License: CC BY-SA 2.5
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Feb 5, 2011 at 0:47 | history | edited | Jon Bannon | CC BY-SA 2.5 |
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Feb 4, 2011 at 22:31 | comment | added | Martin Argerami | So, when you mean "pointwise", you mean "evaluating the automorphisms on elements of the factor"? That's how I understand it, but in part of the literature (cfr. work of Haagerup and Stormer) "pointwise" means something else (i.e. evaluation on states). In the case of the first definition, I think that any automorphism in a II_1 factor is a pointwise-norm limit of inner automorphisms. | |
Feb 2, 2011 at 21:08 | comment | added | Jon Bannon | Starting with the hyperfinite II_1 begs the question, as M being the hyperfinite II_1 factor is equivalent to the flip being approximately inner. | |
Feb 2, 2011 at 20:59 | comment | added | Jon Bannon | @Yemon: I wish I had such a link. This is sort of what I'm trolling for. | |
Feb 2, 2011 at 19:47 | comment | added | Yemon Choi | Any links to what's already known? Does this work for the hyperfinite II_1 (perhaps using Property P or similar for its tensor square)? | |
Feb 2, 2011 at 17:34 | history | edited | Jon Bannon |
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Feb 2, 2011 at 12:19 | history | edited | Jon Bannon | CC BY-SA 2.5 |
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Feb 2, 2011 at 12:06 | history | asked | Jon Bannon | CC BY-SA 2.5 |