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18th International Conference on Operator Theory
June 27 - July 1, 2000
University of the West
Timisoara, Romania

Organizers
Dumitru Gaspar, Traian Ceausu, Aurelian Craciunescu, Aurelian Gheondea, Radu-Nicolae Gologan, Ciprian Pop, Dan Popovici, Nicolae Suciu, Alexandru Terescenco, Dan Timotin, Flavius Turcu

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Euclidean Lattice Algebras
by
Stephen Power
Lancaster University
Coauthors: Aristides Katavolos (University of Athens)

I shall survey some properties of the Fourier binest algebra (generated by H\infty(R) and right translations) and its hyperbolic variant (generated by H\infty(R) and a dilation semigroup). In both cases the invariant subspace lattice, with the weak operator topology, is a compact connected locally Euclidean manifold. In the former case one obtains a homeomorph of the closed disc, whilst in the latter case one obtains an explicit curious 4-manifold. This is recent joint work with Aristides Katavolos.

http://www.maths.lancs.ac.uk/~power/

Date received: June 2, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeo-47.