**"****Dilation Theory for Completely Positive Maps****"**

By

**SERDAR AY**

**(BİLKENT UNIVERSITY)**

**Abstract: **It has been long known that for maps taking values in operator spaces the
assumption of complete positivity is strong enough to
obtain dilation results. Often, complete positivity
makes it possible to obtain a construction which leads to a "bigger" space, and "simpler" dilated objects acting on
them. In this talk, we review some of the classical results, namely, GNS
construction, Naimark's dilation theorems, Stinespring's dilation theorem and its consequences, and
finally state and discuss a proof of Kasparov's generalization of Stinespring's theorem.

**Date: ****Tuesday, March 04, 2014**

**Time: ****15:40**

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

Tea and cookies will be served before the
seminar.