Topological Markov chains, \(C^*\)-algebras, and \(K^ 2\)

DOI10.1016/0001-8708(88)90075-8zbMath0664.46068OpenAlexW2027508143MaRDI QIDQ1114907

J. B. Wagoner

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0001-8708(88)90075-8

zbMATH Keywords

topological Markov chaindimension groupalgebraic K- theoryautomorphisms of the Cuntz-Krieger type \(C^*\)-algebragroup of uniform equivalences

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items

Strong shift equivalence theory and the shift equivalence problem ⋮ Markov partitions and \(K_ 2\) ⋮ Markov Extensions, Zeta Functions, and Fredholm Theory for Piecewise Invertible Dynamical Systems ⋮ TWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETS ⋮ An adjacency matrix perspective of talented monoids and Leavitt path algebras ⋮ Shift equivalences through the lens of Cuntz-Krieger algebras ⋮ The dynamics of Leavitt path algebras. ⋮ Lifting measures to Markov extensions ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics ⋮ The shift equivalence problem. ⋮ On the \(K\)-theory of Cuntz-Krieger algebras ⋮ The Rohlin property for shifts of finite type ⋮ Entropy of snakes and the restricted variational principle

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