19 citations · 120 across the 58 of their papers we have counts for
5 papers · 1 filter
Boundary amenability of groups via ultrapowers
Stephen Avsec, Isaac Goldbring
We use -algebra ultrapowers to give a new construction of the Stone-Cech compactification of a separable, locally compact space. We use this construction to give…
Independence in randomizations
Uri Andrews, Isaac Goldbring, H. Jerome Keisler
The randomization of a complete first order theory is the complete continuous theory with two sorts, a sort for random elements of models of , and a sort for events in…
Robinson forcing and the quasidiagonality problem
Isaac Goldbring, Thomas Sinclair
We introduce weakenings of two of the more prominent open problems in the classification of -algebras, namely the quasidiagonality problem and the UCT problem. We sho…
On the axiomatizability of -algebras as operator systems
Isaac Goldbring, Thomas Sinclair
We show that the class of unital -algebras is an elementary class in the language of operator systems. As a result, we have that there is a definable predicate in the…
On the theories of McDuff's II factors
Isaac Goldbring, Bradd Hart
Recently, Boutonnet, Chifan, and Ioana proved that McDuff's family of continuum many pairwise nonisomorphic separable II factors are in fact pairwise non-elementarily equivalen…