Full k-simplicity of Steinberg algebras over Clifford semifields with application to Leavitt path algebras

DOI10.1007/S00013-024-01975-1MaRDI QIDQ6492102

Sujit Kumar Sardar, Unnamed Author

Publication date: 24 April 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Semirings (16Y60) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Associative rings and algebras arising under various constructions (16S99)

Cites Work

• Unnamed Item
• Unnamed Item
• Clifford semirings and generalized Clifford semirings.
• Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras
• A groupoid approach to discrete inverse semigroup algebras
• A characterization of semirings which are subdirect products of a distributive lattice and a ring
• Leavitt path algebras
• Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph \(C^{\ast}\)-algebras
• Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields
• On Steinberg algebras of Hausdorff ample groupoids over commutative semirings
• Simplicity of algebras associated to étale groupoids
• Equivalent groupoids have Morita equivalent Steinberg algebras.
• A groupoid generalisation of Leavitt path algebras
• Simpleness of Leavitt path algebras with coefficients in a commutative semiring
• Public key cryptography based on semigroup actions
• The Groupoid Approach to Leavitt Path Algebras
• Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras
• Leavitt path algebras with coefficients in a Clifford semifield

This page was built for publication: Full k-simplicity of Steinberg algebras over Clifford semifields with application to Leavitt path algebras