TY - CHAP AU - Pardo Espino, Enrique A4 - Matemáticas PY - 2025 UR - http://hdl.handle.net/10498/37531 AB - 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... LA - eng PB - Repositorio Científico arXiv KW - Self-similar group KW - Nekrashevych algebras KW - Katsura algebras KW - Self-similar graph KW - Inverse semigroup KW - Tight groupoid KW - groupoid C-algebra KW - Steinberg algebra KW - k-graph KW - Twisted groupoid KW - Left cancellative small category KW - Zappa-Szép product KW - Groupoid homology KW - K-theory TI - An overview on self-similar graphs, their generalizations, and their associated algebras. DO - 10.48550/arXiv.2509.18702 ER -