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Wednesday, July 18, 2018 — 1:30 PM EDT

Boyu Li, Pure Mathematics, University of Waterloo

"Regular Dilation on Semigroups"

Thursday, July 19, 2018 — 1:30 PM EDT

Adam Humeniuk, Pure Mathematics, University of Waterloo

"Existence of the C*-envelope"

In 1969, Arveson defined the C*-envelope of an operator algebra or operator system as a universal quotient amongst all C*-algebras which contain it. He left the existence of the C*-envelope as an open problem. In a whirlwind tour of my Master's research paper, I'll discuss the diverse tools used to prove its existence in the intervening decades.

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