5 papers
The Hao-Ng isomorphism theorem for reduced crossed products
Adam Dor-On, Ian Thompson
We prove the Hao-Ng isomorphism for reduced crossed products by locally compact Hausdorff groups. More precisely, for a non-degenerate -correspondence and a gener…
Normal coactions extend to the C*-envelope
Kevin Aguyar Brix, Chris Bruce, Adam Dor-On
We show that a normal coaction of a discrete group on an operator algebra extends to a normal coaction on the C*-envelope. This resolves an open problem attempted by several expert…
Space-time boundaries for random walks and their application to operator algebras
Adam Dor-On, Ilya Gekhtman, Pavel Prudnikov
We investigate the Martin boundary of the space-time Markov chain associated to a finitely supported random walk with spectral radius and relate it to several class…
On almost commuting unitary matrices
Adam Dor-On, Lucas Hall, Ilya Kachkovskiy
A question going back to Halmos asks when two approximately commuting matrices of a certain kind are close to exactly commuting matrices of the same kind. It has long been known th…
Products and factorization in operator systems
Adam Dor-On, Travis B. Russell
We study unital operator spaces endowed with a partially defined product. We give a matrix-norm characterization of such products that allows for a representation theorem where the…