| Résume | Thompson's group V is a by now classical example of an infinite simple group. The construction has been generalized in many ways. In this context, the notion of topological full groups of groupoids has attracted attention because it produces new examples of infinite simple groups with interesting properties. My talk will discuss topological full groups arising from left-cancellative monoids and small categories. I will present several concrete examples, explain the connection to operator algebras, and focus on homological properties of these topological full groups. |
