Sofic mean length
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Publication:2319889
DOI10.1016/j.aim.2019.01.042zbMath1455.16001arXiv1510.07655OpenAlexW2963347627WikidataQ128496271 ScholiaQ128496271MaRDI QIDQ2319889
Publication date: 20 August 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.07655
length functionvon Neumann dimensionaddition formulamean dimensionstably direct finitevon Neumann-Lück rank
Topological dynamics (37B99) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Other homology theories in algebraic topology (55N35) Units, groups of units (associative rings and algebras) (16U60) General module theory in associative algebras (16D10)
Related Items (17)
A geometric generalization of Kaplansky’s direct finiteness conjecture ⋮ Algebraic entropy of amenable group actions ⋮ The addition theorem for locally monotileable monoid actions ⋮ Algebraic entropy for amenable semigroup actions ⋮ Variational principles for amenable metric mean dimensions ⋮ On sofic groups, Kaplansky's conjectures, and endomorphisms of pro-algebraic groups ⋮ Locally compact sofic groups ⋮ Ore localization of amenable monoid actions and applications toward entropy -- addition formulas and the bridge theorem ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey ⋮ Dynamical correspondences of \(L^2\)-Betti numbers ⋮ Max-min theorems for weak containment, square summable homoclinic points, and completely positive entropy ⋮ Relative entropy and the Pinsker product formula for sofic groups ⋮ Examples in the entropy theory of countable group actions ⋮ Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group ⋮ Bivariant and extended Sylvester rank functions ⋮ Local and doubly empirical convergence and the entropy of algebraic actions of sofic groups ⋮ Sofic homological invariants and the Weak Pinsker Property
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