Transfer maps and projection formulas

Tabuada, Gonçalo

doi:10.1090/S0002-9939-2011-11169-9

Transfer maps and projection formulas
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by Gonçalo Tabuada

Proc. Amer. Math. Soc. 140 (2012), 2589-2597

DOI: https://doi.org/10.1090/S0002-9939-2011-11169-9

Published electronically: December 1, 2011

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Abstract:

Transfer maps and projection formulas are undoubtedly one of the key tools in the development and computation of (co)homology theories. In this paper we develop a unified treatment of transfer maps and projection formulas in the non-commutative setting of dg categories. As an application, we obtain transfer maps and projection formulas in algebraic $K$-theory, cyclic homology, topological cyclic homology, and other scheme invariants.

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