TORSION THEORIES FOR FINITE VON NEUMANN ALGEBRAS

DOI10.1081/AGB-200049871zbMath1108.46044arXivmath/0702527OpenAlexW2078526014MaRDI QIDQ4682018

Lia Vaš

Publication date: 9 June 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702527

zbMATH Keywords

torsion theoriescapacityfinite von Neumann algebrainjective envelopealgebra of affiliated operators

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (K)-theory and operator algebras (19K99) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Dimension and torsion theories for a class of Baer *-rings. ⋮ A factorization theorem for curves with vanishing self-intersection ⋮ Some mixed Hodge structures on \(l^{2}\)-cohomology groups of coverings of Kähler manifolds ⋮ Torsion theories for algebras of affiliated operators of finite von Neumann algebras ⋮ Class of Baer *-rings defined by a relaxed set of axioms.

Cites Work

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• Hilbert modules and modules over finite von Neumann algebras and applications to \(L^ 2\)-invariants
• Quasi-Injective Modules and Irreducible Rings
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• A Solution of the Matrix Problem for RickartC*-Algebras
• Dimension theory of arbitrary modules over finite von Neumann algebras and L2-Betti numbers I: Foundations