C*-envelope and dilation theory on semigroup dynamical systems

Boyu Li (University of Victoria)

Thursday 12th November, 2020 16:00-17:00 Contact the organisers for Zoom info


We consider the universal non-self-adjoint operator algebra by left-covariant representations of an injective hereditary semigroup dynamical system over an abelian semigroup. Using dilation techniques, we prove that its C*-envelope is the semigroup crossed product C*-algebra. This leads to a number of new examples of non-self-adjoint operator algebras with their C*-envelope, in particular, with many from number fields.

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