Adam Dor On, Department of Pure Mathematics, University of Waterloo
“Classification of C*-envelopes of tensor algebras arising from stochastic matrices”
In this talk we will discuss C*-envelopes of tensor algebras associated to finite irreducible stochastic matrices. We show that there are examples of such C*-envelopes that are non- *-isomorphic to either the Toeplitz or t he Cuntz-Pimsner algebras, which was somewhat unexpected.
We provide a detailed characterization of the boundary representations of the tensor al- gebra inside the Toeplitz algebra, and apply this and extension theory to classify all such C*-envelopes in terms of the underlying stochastic matrices, up to stable isomorphism and *-isomorphism.
*Joint work with Daniel Markiewicz.
MC 5403