Algebraic -theory and the KH-isomorphism conjecture

  • Eugenia Ellis

    Universidad de la República, Montevideo, Uruguay
  • Emanuel Rodríguez Cirone

    Universidad de Buenos Aires, Buenos Aires, Argentina
Algebraic $kk$-theory and the KH-isomorphism conjecture cover
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We relate the Davis–Lück homology with coefficients in Weibel’s homotopy -theory to the equivariant algebraic -theory using homotopy theory and adjointness theorems. We express the left hand side of the assembly map for the KH-isomorphism conjecture in terms of equivariant algebraic -groups.

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Eugenia Ellis, Emanuel Rodríguez Cirone, Algebraic -theory and the KH-isomorphism conjecture. DM 29 (2024), no. 2, pp. 399–456

DOI 10.4171/DM/953