Analysis Seminar

Alessandro Vignati, York University

“Amenable Operator Algebras and the Isomorphisms problem”

After a brief introduction of the subject, we will present the construction of an amenable nonseparable operator algebra A such that every nonseparable subalgebra of A is not isomor- phic to a C*-algebra. Secondly, we will give a criterion to establish whether or not an operator algebra is isomorphic, or similar, to a C*-algebra, using model theory for continuous structures, describing the various consequences in relation with the Kadison Similarity problem.

MC 5413