Arrangementer - Side 9

Magnus Dahler Norling will give a second talk on the topic of inverse semigroup C*-algebras associated with left cancellative semigroups.

Magnus Dahler Norling will give a talk with title "Inverse semigroup C*-algebras associated with left cancellative semigroups".

Abstract: To each discrete left cancellative semigroup S one may associate a certain inverse semigroup I_l(S), often called the left inverse hull of S. We show how the full and the reduced C*-algebras of I_l(S) are related to the full and the reduced semigroup C*-algebras for S recently introduced by Xin Li, and give conditions ensuring that these algebras are isomorphic. Our picture provides an enhanced understanding of Li's algebras.  

Simen Rustad (UiO) will give a talk with title  "Construction of Bost-Connes type systems for function fields".

Abstract: I will try to indicate how Benoit Jacob's construction of a Bost-Connes  type system for function fields fits into a more general framework.  

Bora Yalkinoglu will give a talk entitled: Introduction to p-adic Bost-Connes systems.

Abstract: In this talk we want to give a gentle introduction into the recently emerging theory of p-adic Bost-Connes systems. In the first part of the talk, after reviewing the necessary background from p-adic analysis and number theory, we will explain recent work of Connes and Consani on certain p-adic representations of the classical BC-system. In the second part of the talk we will discuss recent work on generalizations of the work of Connes and Consani and, further, point out several open problems for further research.  

Thomas Timmermann, Westfälische Wilhelms-Universität Münster, Germany, will give a talk with title "Towards the dynamical quantum group SU_q(2) on the level of operator algebras"

Fred Shultz, Wellesley College (USA) will give a talk with title "Affine automorphisms of the convex set of separable states, and decompositions of separable states".

Roberto Conti , Università di Chieti-Pescara ‘G. D’Annunzio’, Italy, will give a talk on "Sectors of scaling limit nets and asymptotic morphisms".

Abstract: In the algebraic approach to 4D-QFT the main object of study is a local net, namely an isotonous correspondence between spacetime regions and operator algebras on a fixed Hilbert space satisfying physically motivated properties including Einstein causality. The so-called DHR superselection sectors of the net are then described by certain (inner equivalence classes of) *-endomorphisms of the C*-algebra of quasi-local observables. For any local net, one may also consider its associated scaling limit nets, carrying the information on the short distance limit of the given QFT (roughly, this is the algebraic version of the renormalization group). In this talk we will argue that the superselection sectors of a scaling limit net can be described in terms of suitable maps of the original theory, that are similar to the asymptotic morphisms appearing in E-theory of Connes and Higson. This is a new arena where concepts from AQFT and NCG are merged together, and provides a first step for an alternative (rigorous, model independent) approach to the notion of confinement. (This is joint work with G. Morsella).