Finitely Presented Groups Related to Kaplansky’s Direct Finiteness Conjecture

DOI10.1080/10586458.2014.993051zbMath1403.20004arXiv1112.1790OpenAlexW1505208472WikidataQ123141410 ScholiaQ123141410MaRDI QIDQ2813822

Timo Heister, Kate Juschenko, Kenneth J. Dykema

Publication date: 27 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1790

zbMATH Keywords

sofic groupsKaplansky's direct finiteness conjectureinvertible conjecture

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05)

Related Items

On the Toeplitz-Jacobson algebra and direct finiteness ⋮ Cardinality of product sets in torsion-free groups and applications in group algebras ⋮ Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups ⋮ Zero divisors and units with small supports in group algebras of torsion-free groups ⋮ Zero divisors of support size 3 in group algebras and trinomials divided by irreducible polynomials over GF(2) ⋮ A counterexample to the unit conjecture for group rings ⋮ On dual surjunctivity and applications

Cites Work

• On sofic actions and equivalence relations
• Endomorphisms of symbolic algebraic varieties
• Sofic groups and direct finiteness.
• Sofic representations of amenable groups
• On sofic groups

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