**"****On the C*-algebra Generated by Toeplitz
Operators and Fourier Multipliers on the Hardy Space of a Locally Compact Group****"**

By

**UĞUR GÜL**

**(HACETTEPE UNIVERSITY)**

**Abstract: **Let G be a locally compact abelian Hausdorff topological group which is non-compact and whose Pontryagin dual Γ is partially ordered. Let Γ+⊂Γ be the semigroup
of positive elements in Γ. The Hardy space H2(G) is the closed subspace of L2(G) consisting of functions
whose Fourier transforms are supported
on Γ+. We consider the C*-algebra C∗(T(G)∪F(C(Γ+˙))) generated by Toeplitz operators
with continuous symbols on G which vanish at infinity and Fourier multipliers with symbols which are
continuous on one point compactification of Γ+ on the Hilbert-Hardy space
H2(G). We characterize the character space of this C*-algebra
using a theorem of Power.

**Date: ****Tuesday, March 11, 2014**

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

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

Tea and cookies will be served before the
seminar.