Thursday, September 19, 2019 — 1:00 PM EDT

Adam Humeniuk, Department of Pure Mathematics, University of Waterloo

"C*-covers of semicrossed products"

A crossed product is a C*-algebra that encodes the way a group acts on another C*-algebra, or a topological space. In analogy, a semicrossed product encodes the way a semigroup acts on an operator algebra (semi-C*-algebra??). I'll tell you the story of the following question: Does a semicrossed product embed naturally into a crossed product? In a minimal way? With pictures, I'll show how we might answer this question in the affirmative for "Nica-covariant" semicrossed products over "lattice-ordered" abelian semigroups.

MC 5403

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