Some important C*-algebras have been recently flagged and studied as Fraisse limits. In the first part of my talk, I will review the Fraisse theory of C*-algebras (or more generally, of metric structures)--in the context of category theory (as opposed to model theory)--and give examples of approximately finite-dimensional non-commutative C*-algebras which appear as Fraisse limits and exabit Cantor-space-like universality/homogeneity properties. In the second part of my talk, I will show how one can apply the fact that a C*-algebra A is the Fraisse limit of a category of C*-algebras, which is sufficiently closed under taking tensor products of its objects and morphisms, to show that A is "self-absorbing" in a very "strong" sense (a C*-algebra is self-absorbing if it is isomorphic to its tensor product with itself). I will use this result to sketch a new and much easier proof for the notorious fact that the "Jiang-Su algebra" is strongly self-absorbing.
To join this webinar, please send an email to r.zoghi@gmail.com.