Timeline for What is the right definition of "real von Neumann algebra"?
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Dec 16, 2011 at 18:00 | comment | added | Jon Bannon | To actually answer the question, if the "right" definition is one for which double commutant and Kaplansky density hold, for example, then what you suggest works. Interestingly, it is mentioned in a book of Li that a (complex) operator algebra is the complexification of a real one if and only if the original algebra has a *-antiautomorphism. So not every von Neumann algebra is the complexification of a real one. | |
Dec 16, 2011 at 16:58 | history | edited | Jon Bannon | CC BY-SA 3.0 |
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Dec 16, 2011 at 16:53 | history | undeleted | Jon Bannon | ||
Dec 16, 2011 at 16:52 | history | deleted | Jon Bannon | ||
Dec 16, 2011 at 16:50 | history | answered | Jon Bannon | CC BY-SA 3.0 |