Tannaka-Krein duality for compact groupoids II, Fourier transform
Operator Algebras
2007-05-23 v1
Abstract
In a series of papers, we have shown that from the representation theory of a compact groupoid one can reconstruct the groupoid using the procedure similar to the Tannaka-Krein duality for compact groups. In this part we study the Fourier and Fourier-Plancherel transforms and prove the Plancherel theorem for compact groupoids. We also study the central functions in the algebra of square integrable functions on the isotropy groups.
Cite
@article{arxiv.math/0308260,
title = {Tannaka-Krein duality for compact groupoids II, Fourier transform},
author = {Massoud Amini},
journal= {arXiv preprint arXiv:math/0308260},
year = {2007}
}
Comments
14 pages