Nearly Approximate Transitivity (AT) for Circulant Matrices

DOI10.4153/CJM-2017-041-8zbMath1420.37003arXiv1411.6301MaRDI QIDQ4632765

David E. Handelman

Publication date: 30 April 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6301

zbMATH Keywords

circulant matrixergodic transformationdimension spaceapproximately transitivematrix-valued random walkhemicirculant matrix

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Ordered rings, algebras, modules (06F25) Ordered normed spaces (46B40) Dynamical systems and the theory of (C^*)-algebras (37A55) Special matrices (15B99)

Cites Work

• Isomorphisms and non-isomorphisms of \(\mathrm{AT}\) actions
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Hyperfinite von Neumann algebras and Poisson boundaries of time dependent random walks
• Actions of compact groups on AF \(C^*\)-algebras
• Measures on Cantor sets: The good, the ugly, the bad
• Amenable actions of discrete groups
• Positive Polynomials and Time Dependent Integer-Valued Random Variables
• Approximate transitivity for zero-entropy systems
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