Event № 822
11:45 Gathering (Lounge, 8th floor, Amado building)
12:00 Skeide: Semigroups of isometries on Hilbert C*-modules
13:00 Lunch break
14:30 Solel: Homomorphisms of noncommutative Hardy algebras
15:30 Hartman: Stationary C*-dynamical systems
All lectures will be in room 814 (Amado Building).
All lectures will be 50 minutes long with 10 minutes for questions or discussions.
1) Michael Skeide (University of Molise)
Semigroups of isometries on Hilbert C*-modules
ABSTRACT: We show that pure strongly continuous semigroups of adjointable isometries on a Hilbert C*-module are standard right shifts. By counter examples, we illustrate that the analogy of this result with the classical result on Hilbert spaces by Cooper, cannot be improved further to understand arbitrary semigroups of isometries in the classical way.
Joint work with Raja Bhat
2) Baruch Solel (Technion)
Homomorphisms of noncommutative Hardy spaces
ABSTRACT: I will discuss completely contractive homomorphisms among Hardy algebras that are associated with W*-correspondences. I will present interpolation (Nevanlinna-Pick type) results and discuss the properties of the maps (on the representation spaces) that induce such homomorphisms.
This is a joint work with Paul Muhly.
3) Yair Hartman (Ben-Gurion University of the Negev)
Stationary C*-dynamical systems
ABSTRACT: We introduce the notion of stationary actions in the context of C*-algebras, and prove a new characterization of C*-simplicity in terms of unique stationarity of the canonical trace. This ergodic theoretical characterization provides an intrinsic understanding for the relation between C*-simplicity and the unique trace property, and provides a framework in which C*-simplicity and random walks interact.
Joint work with Mehrdad Kalantar.