Symbolic task inference in deep reinforcement learning
 Hasanbeig, H Yogananda Jeppu, N Abate, A Melham, T Kroening, D Journal of Artificial Intelligence Research volume 80 1099-1137 (23 Jul 2024)
Tue, 13 Aug 2024
14:00
C4

When is an operator system a C*-algebra?

Kristen Courtney
(University of Southern Denmark)
Abstract

In the category of operator systems, identification comes via complete order isomorphisms, and so an operator system can be identified with a C*-algebra without itself being an algebra. So, when is an operator system a C*-algebra? This question has floated around the community for some time. From Choi and Effros, we know that injectivity is sufficient, but certainly not necessary outside of the finite-dimensional setting. In this talk, I will give a characterization in the separable nuclear setting coming from C*-encoding systems. This comes from joint work with Galke, van Lujik, and Stottmeister.

Mon, 12 Aug 2024
16:00
C4

A topology on E-theory

Jose Carrion
(Texas Christian University)
Abstract
For separable C*-algebras A and B, we define a topology on the set [[A,B]] consisting of homotopy classes of asymptotic morphisms from A to B. This gives an enrichment of the Connes–Higson asymptotic category over topological spaces. We show that the Hausdorffization of this category is equivalent to the shape category of Dadarlat. As an application, we obtain a topology on the E-theory group E(A,B) with properties analogous to those of the topology on KK(A,B). The Hausdorffized E-theory group EL(A,B)  is also introduced and studied. We obtain a continuity result for the functor EL(- , B) which implies a new continuity result for the functor KL(-, B).
 
This is joint work with Christopher Schafhauser.
 
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