Abstract

A complete classification up to isomorphism is given of the fixed rings A 1 ( C ) G of the Weyl algebra A 1 ( C ) with respect to the action of a finite group G. The (Quillen) higher K-groups K i ( A 1 ( C ) G) and (in most cases) the trace group or zeroth homology, H 0 ( A 1 ( C ) G) = A 1 ( C ) G)/[ A 1 ( C ) G), A 1 ( C ) G)] are calculated for these rings.

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