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Toeplitz Extensions in Noncommutative Topology and Mathematical Physics

Trends in mathematics, pp. 3–29

Abstract

Abstract We review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov’s bivariant K-theory. We then discuss the recent applications of Toeplitz algebras in the study of solid-state systems, focusing in particular on the bulk-edge correspondence for topological insulators.

Authors 2

  1. Leiden University

    Affiliation as printed

    Mathematical Institute, Leiden University, Leiden, The Netherlands

    Mathematical Institute, Leiden University, Leiden, the Netherlands

  2. Leiden University

    Affiliation as printed

    Mathematical Institute, Leiden University, Leiden, The Netherlands

    Mathematical Institute, Leiden University, Leiden, the Netherlands

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References 28