%0 Journal Article 
%A Pardo Espino, Enrique
%T An overview on self-similar graphs, their generalizations, and their associated algebras.
%D 2025
%U http://hdl.handle.net/10498/37531
%X In these notes, we introduce the concept of self-similar graph, associated with groups acting on graphs. We define the corresponding C*-algebra using different complementary approaches, to understand its basic properties. We also analyze various generalizations that appear in the literature and, in particular, review the relationship of this construction with Zappa-Szép products. Finally, we present very recent results on homology and K-theory for these algebras.
%K Self-similar group
%K Nekrashevych algebras
%K Katsura algebras
%K Self-similar graph
%K Inverse semigroup
%K Tight groupoid
%K groupoid C*-algebra
%K Steinberg algebra
%K k-graph
%K Twisted groupoid
%K Left cancellative small category
%K Zappa-Szép product
%K Groupoid homology
%K K-theory
%~ Universidad de Cádiz