**"Invariant
Kernels"**

By

** Abstract:** Given a *-semigroup G, an action of
it on a set X, and a Hilbert space H, we consider B(H)-valued kernels on X,
that are invariant under the action of G on X. The problem is to decide when
*-representations of G onto another Hilbert space K can be obtained out of
here. This is a general problem that contains, as particular cases, different
dilation theorems, starting with the classical dilation theorems of Naimark, Toeplitz
kernels, Hankel kernels, dilation theorems of Sz.-Nagy and Stinespring, as well
as some more recent interpretations of wavelets.

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**Date: ****Wednesday, March 27, 2013**

**Time: ****14.30**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.