Operad groups as a unified framework for Thompson-like groups

Abstract

We propose a new unified framework for Thompson-like groups using a well-known device called operads and category theory as language. We discuss examples of operad groups which have appeared in the literature before. As a first application, we give sufficient conditions for plain operads to yield groups of type $F_{\infty }$. This unifies and extends existing proofs for certain Thompson-like groups in a conceptual manner.

merged into arXiv:1409.1085

References in corpus (2)

• Euler Characteristics of Categories and Homotopy Colimits
• L2-invisibility and a class of local similarity groups