# Equivariant dendroidal sets

## TL;DR

This paper extends the theory of $$-operads to the equivariant setting, introducing $G$-$$-operads that encode equivariant operads with norm maps up to homotopy, using $G$-trees and $G$-inner horns.

## Contribution

It develops a new framework for equivariant $$-operads by defining $G$-trees and $G$-inner horns, generalizing existing theories to include norm maps.

## Key findings

- Defined a category of $G$-trees for equivariant operads.
- Introduced $G$-inner horns to encode compositions of norm maps.
- Constructed variants associated with indexing systems in equivariant homotopy theory.

## Abstract

We extend the Cisinski-Moerdijk-Weiss theory of $\infty$-operads to the equivariant setting to obtain a notion of $G$-$\infty$-operads that encode "equivariant operads with norm maps" up to homotopy. At the root of this work is the identification of a suitable category of $G$-trees together with a notion of $G$-inner horns capable of encoding the compositions of norm maps. Additionally, we follow Blumberg and Hill by constructing suitable variants associated to each of the indexing systems featured in their work.