4 papers
Diagonal dimension and intermediate sub-C*-algebras
Grigoris Kopsacheilis
We show that finiteness of diagonal dimension, in the sense of Li--Liao--Winter, passes to intermediate sub-C*-algebras. More specifically, we obtain an upper bound for the diagona…
Paper-folding models for the CAR algebra
Grigoris Kopsacheilis, Wilhelm Winter
We show that the CAR algebra admits a Cantor spectrum C*-diagonal that is not conjugate to the standard AF diagonal. We obtain this by classification theory of C*-algebras, and the…
Uniform property and the small boundary property
Grigoris Kopsacheilis, Hung-Chang Liao, Aaron Tikuisis +1
We prove that, for a free action of a countably infinite discrete amenable group on a compact metric space, the small boundary property is implied b…
Diagonal comparison of ample C*-diagonals
Grigoris Kopsacheilis, Wilhelm Winter
We introduce diagonal comparison, a regularity property of diagonal pairs where the sub-C*-algebra has totally disconnected spectrum, and establish its equivalence with the concurr…