Nonabelian Localization in Equivariant K-theory and Riemann-roch for Quotients
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چکیده
We prove a localization formula in equivariant algebraic K-theory for an arbitrary complex algebraic group acting with finite stabilizer on a smooth algebraic space. This extends to non-diagonalizable groups the localization formulas of H.A. Nielsen [Nie] and R. Thomason [Tho5] As an application we give a Riemann-Roch formula for quotients of smooth algebraic spaces by proper group actions. This formula extends previous work of B. Toen [Toe] and the authors [EG3].
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تاریخ انتشار 2008