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arXiv · 0808.0301

C*-algebras associated to shift spaces

Toke Meier Carlsen
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Abstract

These are some notes I wrote for the summer school "Symbolic dynamics and homeomorphisms of the Cantor set" at the University of Copenhagen, 23 - 27 June 2008. The notes contain the definition of the C*-algebra associated to a shift space and some basic facts about these. The notes furthermore contain a proof of the fact that the C*-algebra associated to a shift space is a one-sided conjugacy invariant, and a proof of the fact that the Morita equivalence class of the C*-algebra associated to a shift space is a two-sided conjugacy and a flow invariant. The notes also contain a section (without proofs) about the K-theory of C*-algebras associated to shift spaces. The notes are written for people without a background in operator algebra and contains a short appendix about C*-algebras, Morita equivalence and K-theory of C*-algebras.

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Toke Meier Carlsen. 2008-08-03. C*-algebras associated to shift spaces. https://arxiv.org/abs/0808.0301

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