"On the C*-algebra Generated by Toeplitz Operators and Fourier Multipliers on the Hardy Space of a Locally Compact Group"
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
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.