"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

Time: 15:40

Place: Mathematics Seminar Room, SA-141



Tea and cookies will be served before the seminar.