Growth of étale groupoids and simple algebras

DOI10.1142/S0218196716500156zbMath1366.16016arXiv1501.00722OpenAlexW2964018712MaRDI QIDQ2799126

Volodymyr V. Nekrashevych

Publication date: 8 April 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00722

zbMATH Keywords

Sturmian wordsGelfand-Kirillov dimensionétale groupoidsgrowth of algebrasthinned algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Topological groupoids (including differentiable and Lie groupoids) (22A22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

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TWISTS, CROSSED PRODUCTS AND INVERSE SEMIGROUP COHOMOLOGY ⋮ Growth, relations and prime spectrum of monomial algebras ⋮ Growth of monomial algebras, simple rings and free subalgebras ⋮ Strongly graded groupoids and strongly graded Steinberg algebras ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ Gaps and approximations in the space of growth functions ⋮ On the simplicity of Nekrashevych algebras of contracting self-similar groups ⋮ Simple groups of dynamical origin ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ Simplicity of inverse semigroup and étale groupoid algebras ⋮ Growth of finitely generated simple Lie algebras ⋮ Prime and primitive algebras with prescribed growth types ⋮ On the growth of algebras, semigroups, and hereditary languages ⋮ Simplicity of algebras associated to non-Hausdorff groupoids ⋮ Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields

Cites Work

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