# 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…

## One Citation

Boolean algebras, Morita invariance, and the algebraic K-theory of Lawvere theories

- Mathematics
- 2020

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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