# K- and L-theory of graph products of groups

**Authors:** Daniel Kasprowski, Kevin Li, Wolfgang L\"uck

arXiv: 1906.01951 · 2021-05-28

## TL;DR

This paper computes various algebraic and topological invariants such as homology, K- and L-groups for graph products of groups including right-angled Artin and Coxeter groups, advancing understanding of their algebraic topology.

## Contribution

It provides explicit calculations of homology and K- and L-theory for a broad class of graph product groups, extending previous results to more general settings.

## Key findings

- Computed group homology for graph product groups
- Determined algebraic K- and L-groups for these groups
- Analyzed topological K-groups in the context of graph products

## Abstract

We compute the group homology, the algebraic $K$- and $L$-groups, and the topological $K$-groups of right-angled Artin groups, right-angled Coxeter groups, and more generally, graph products.

## Full text

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## References

40 references — full list in the complete paper: https://tomesphere.com/paper/1906.01951/full.md

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Source: https://tomesphere.com/paper/1906.01951