Extremal traces on some group-invariant C1-algebras |
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Authors: | Geoffrey Price |
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Institution: | Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, 1125East 38th Street, Indianapolis, Indiana 46223 USA |
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Abstract: | Let be a UHF-algebra of Glimm type n∞, and {αg: g?G} a strongly continuous group of 1-automorphisms of product type on , for G compact. Let α be the C1-subalgebra of fixed elements of . We show that any extremal normalized trace on α arises as the restriction of a symmetric product state ? on of the form ? = ?k?1 ω. As an example we classify the extremal traces on α for the case G = SU(n), αg = ?k ? 1 Ad(g). |
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