The Realization Problem for some wild monoids and the Atiyah Problem

DOI10.1090/tran/6889zbMath1405.16013arXiv1410.8838OpenAlexW2962770866MaRDI QIDQ5347276

Pere Ara, Kenneth R. Goodearl

Publication date: 23 May 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8838

zbMATH Keywords

group algebrarealization problem(von Neumann) regular ringwild monoid

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

\(L^2\)-Betti numbers arising from the lamplighter group ⋮ On congruence-semisimple semirings and the \(K_{0}\)-group characterization of ultramatricial algebras over semifields ⋮ Approximating the group algebra of the lamplighter by infinite matrix products ⋮ The base change in the Atiyah and the Lück approximation conjectures ⋮ The realization problem for finitely generated refinement monoids ⋮ Tame and wild refinement monoids ⋮ Adjoining a universal inner inverse to a ring element. ⋮ Convex subshifts, separated Bratteli diagrams, and ideal structure of tame separated graph algebras ⋮ Representing finitely generated refinement monoids as graph monoids ⋮ Leavitt path algebras over a poset of fields ⋮ Sylvester matrix rank functions on crossed products ⋮ The strong Atiyah and Lück approximation conjectures for one-relator groups

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