One-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetry

Huang, Jiann-Shiuh2014-03-142014-03-141991-06-14etd-10132005-152531http://hdl.handle.net/10919/39824Let X be a compact Hausdorff space and A a uniform algebra on X. Let if be an isometric unital representation that maps A into bounded linear operators on a Hilbert space. This research investigated that there is a one-to-one correspondence between the collection of maximal sets of antisymmetry for A and that of maximal projections of antisymmetry for π (A) under the extension of π if π satisfies a certain regularity property.iv, 46 leavesBTDapplication/pdfenIn CopyrightLD5655.V856 1991.H835Maximal subgroupsOne-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetryDissertationhttp://scholar.lib.vt.edu/theses/available/etd-10132005-152531/