Abstract
We extend earlier work of Waldhausen which defines operations on the algebraic -theory of the one-point space. For a connected simplicial abelian group and symmetric groups , we define operations in the algebraic -theory of spaces. We show that our operations can be given the structure of -maps. Let be the -transfer. We also develop an inductive procedure to compute the compositions , and outline some applications.
Citation
Thomas Gunnarsson. Ross Staffeldt. "Segal operations in the algebraic $K$-theory of topological spaces." Ann. K-Theory 4 (1) 1 - 56, 2019. https://doi.org/10.2140/akt.2019.4.1
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