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Analysis when every set is measurable

Mathematical Physics & Probability

Speaker: Andre Kornell, UC Davis
Location: 2112 MSB
Start time: Wed, Apr 13 2016, 4:10PM

The convenient assumption that every set of real numbers is Lebesgue measurable is consistent with all mathematical reasoning that does not appeal to the axiom of choice. I will briefly mention a device by which one can verify that a familiar theorem holds in this new setting. The bulk of the talk will consist of examples of structures from analysis that are clarified by this assumption. We will look at group actions, enveloping algebras of operator algebras, Connes's random operators, and the general features of classification by invariants.