4 papers
A C*-cover lattice dichotomy
Adam Humeniuk, Christopher Ramsey, Marcel Scherer
In this paper, we show that the lattice of C*-covers of a non-selfadjoint operator algebra is either one point or uncountable. We prove that there are non-selfadjoint operator alge…
Couniversality for C*-algebras of residually finite-dimensional operator algebras
Adam Humeniuk, Christopher Ramsey, Ian Thompson
The C*-envelope of a non self-adjoint operator algebra is known to encode many properties of the underlying subalgebra. However, the C*-envelope does not always encode the residual…
Jensen's inequality for separately convex noncommutative functions
Adam Humeniuk
Classically, Jensen's Inequality asserts that if is a compact convex set, and is a convex function, then for any probability measure on , that $f(\te…
C*-envelopes of semicrossed products by lattice ordered abelian semigroups
Adam Humeniuk
A semicrossed product is a non-selfadjoint operator algebra encoding the action of a semigroup on an operator or C*-algebra. We prove that, when the positive cone of a discrete lat…