The Dixmier-Moeglin equivalence for Leavitt path algebras.

DOI10.1007/S10468-010-9245-3zbMath1250.16012arXiv1005.4321OpenAlexW2031658508MaRDI QIDQ421482

Kulumani M. Rangaswamy, Jason P. Bell, Gene D. Abrams

Publication date: 24 May 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4321

zbMATH Keywords

prime idealsprimitive idealsLeavitt path algebrasDixmier-Moeglin equivalencelocally closed idealsrational ideals

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Ideals in associative algebras (16D25) Leavitt path algebras (16S88)

Related Items (6)

Poisson algebras via model theory and differential-algebraic geometry ⋮ On the importance of being primitive ⋮ RATIONAL GROUP ACTIONS ON AFFINE PI-ALGEBRAS ⋮ Realizing posets as prime spectra of Leavitt path algebras ⋮ The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra ⋮ A note on the Dixmier-Moeglin equivalence in Leavitt path algebras of arbitrary graphs over a field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings.
• Algebraic group actions on noncommutative spectra.
• Exchange Leavitt path algebras and stable rank
• Combinatorics of \(\mathcal H\)-primes in quantum matrices
• The classification question for Leavitt path algebras.
• Socle theory for Leavitt path algebras of arbitrary graphs.
• Group actions and rational ideals.
• Dimension and enumeration of primitive ideals in quantum algebras.
• An automaton-theoretic approach to the representation theory of quantum algebras
• On the primitivity of prime rings
• Vanishing of derivations and prime spectra of quantum algebras
• Nonstable \(K\)-theory for graph algebras.
• Prime rings satisfying a generalized polynomial identity
• The Leavitt path algebra of a graph.
• Primitive ideals in quantum Schubert cells: Dimension of the strata
• Prime spectrum and primitive Leavitt path algebras
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras

This page was built for publication: The Dixmier-Moeglin equivalence for Leavitt path algebras.