On G-Trace and G-Index in Deformation Quantization |
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Authors: | Fedosov Boris |
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Affiliation: | (1) Institut für Mathematik, Universität Potsdam, Postfach 60 15 53, 14415 Potsdam, Germany |
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Abstract: | For a compact group G of symplectomorphisms we define a G-trace on the algebra of quantum observables by postulating its properties. We give an explicit construction of such a trace and prove a G-index theorem similar to the Atiyah–Segal–Singer equivariant index theorem for elliptic operators. |
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Keywords: | star-product symmetry group fixed-point manifold G-trace G-index |
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