Comparability in the graph monoid

zbMath1466.19002arXiv2005.14235MaRDI QIDQ2214403

Lia Vaš, Roozbeh Hazrat

Publication date: 8 December 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14235

zbMATH Keywords

graphgroup actionGrothendieck groupordered abelian groupgraph monoid

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ordered semigroups and monoids (06F05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) (K_0) of other rings (19A49) Leavitt path algebras (16S88) Algebraic monoids (20M32)

Related Items

An adjacency matrix perspective of talented monoids and Leavitt path algebras ⋮ The functor \(K_0^{\operatorname{gr}}\) is full and only weakly faithful ⋮ Graphs with disjoint cycles classification via the talented monoid ⋮ Crossed product Leavitt path algebras

Cites Work

• Unnamed Item
• Stability of unitary \(\text{SK}_1\) of Azumaya algebras.
• The classification question for Leavitt path algebras.
• Methods of graded rings.
• Graded Steinberg algebras and their representations
• Adding tails to \(C^*\)-correspondences
• The graded Grothendieck group and the classification of Leavitt path algebras.
• Leavitt path algebras
• The talented monoid of a Leavitt path algebra
• Nonstable \(K\)-theory for graph algebras.
• \(K\)-theory classification of graded ultramatricial algebras with involution
• Uniqueness theorems and ideal structure for Leavitt path algebras
• Graded Rings and Graded Grothendieck Groups
• Leavitt path algebras of separated graphs
• GRADED CHAIN CONDITIONS AND LEAVITT PATH ALGEBRAS OF NO-EXIT GRAPHS

This page was built for publication: Comparability in the graph monoid