Orbifold Products for Higher KK-Theory and Motivic Cohomology

  • Lie Fu

    Institut Camille Jordan, Université Claude Bernard Lyon 1, 69100, Villeurbanne, France \& IMAPP, Radboud University, Netherlands
  • Manh Toan Nguyen

    Institut für Mathematik, Universität Osnabrück, Germany
Orbifold Products for Higher $K$-Theory and Motivic Cohomology cover
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Due to the work of many authors in the last decades, given an algebraic orbifold (smooth proper Deligne-Mumford stack with trivial generic stabilizer), one can construct its orbifold Chow ring and orbifold Grothendieck ring, and relate them by the orbifold Chern character map, generalizing the fundamental work of Chen-Ruan on orbifold cohomology. In this paper, we extend this theory naturally to higher Chow groups and higher algebraic KK-theory, mainly following the work of Jarvis-Kaufmann-Kimura and Edidin-Jarvis-Kimura.

Cite this article

Lie Fu, Manh Toan Nguyen, Orbifold Products for Higher KK-Theory and Motivic Cohomology. Doc. Math. 24 (2019), pp. 1769–1810

DOI 10.4171/DM/715