2024/03/27 by Lawson, M. V., Vdovina, A.
#Category Theory (math.CT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2403.18449
We generalize free monoids by defining k-monoids. These are nothing other than the one-vertex higher-rank graphs used in C∗-algebra theory with the cardinality requirement waived. The 1-monoids are precisely the free monoids. We then take the next step and generalize k-monoids in such a way that self-similar group actions yield monoids of this type.