• Corpus ID: 245131273

Generalizations of Loday's assembly maps for Lawvere's algebraic theories

@inproceedings{Bohmann2021GeneralizationsOL,
  title={Generalizations of Loday's assembly maps for Lawvere's algebraic theories},
  author={Anna Marie Bohmann and Markus Szymik},
  year={2021}
}
Loday’s assembly maps approximate the K-theory of group rings by the K-theory of the coefficient ring and the corresponding homology of the group. We present a generalization that places both ingredients on the same footing. Building on Elmendorf–Mandell’s multiplicativity results and our earlier work, we show that the K-theory of Lawvere theories is lax monoidal. This result makes it possible to present our theory in a user-friendly way without using higher categorical language. It also allows… 
1 Citations
Boolean algebras, Morita invariance, and the algebraic K-theory of Lawvere theories
The algebraic K-theory of Lawvere theories is a conceptual device to elucidate the stable homology of the symmetry groups of algebraic structures such as the permutation groups and the automorphism

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