Markov partitions and \(K_ 2\)

DOI10.1007/BF02698936zbMath0631.54019OpenAlexW2083068684MaRDI QIDQ1094701

J. B. Wagoner

Publication date: 1987

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1987__65__91_0

zbMATH Keywords

fundamental groupsubshift of finite typedimension groupshift equivalencesalgebraic K-theory groupcategory of nonnegative integral matricesuniform Markov partitions

Mathematics Subject Classification ID

Related Items

Strong shift equivalence theory and the shift equivalence problem ⋮ Eventual Finite Order Generation for the Kernel of the Dimension Group Representation ⋮ Automorphisms of one-sided subshifts of finite type ⋮ Realizing symmetries of a shift ⋮ Realizing symmetries of a subshift of finite type by homeomorphisms of spheres ⋮ Topological Markov chains, \(C^*\)-algebras, and \(K^ 2\) ⋮ The dynamics of Leavitt path algebras. ⋮ Automorphisms of the Dimension Group and Gyration Numbers ⋮ The shift equivalence problem. ⋮ On Automorphisms of Markov Chains ⋮ Higher-Dimensional Shift Equivalence and Strong Shift Equivalence are the Same Over the Integers

Cites Work

• Random walks on discrete groups: Boundary and entropy
• Topological Markov chains, \(C^*\)-algebras, and \(K^ 2\)
• On dimension functions and topological Markov chains
• A class of C*-algebras and topological Markov chains
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Homology for zero-dimensional nonwandering sets
• Classification of subshifts of finite type
• Classifying spaces and spectral sequences
• A Dimension, Dimension Modules, and Markov Chains
• Periodic Points and Automorphisms of the Shift
• Higher algebraic K-theory: I
• Outer conjugacy classes of automorphisms of factors
• Block Coding and a Zeta Function for Finite Markov Chains
• Whitehead torsion
• Endomorphisms and automorphisms of the shift dynamical system
• Introduction to Algebraic K-Theory. (AM-72)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item