𝐶*-algebras and their nuclear dimension

Author:

Castillejos Jorge

Abstract

We review the notion of nuclear dimension for C \mathrm {C}^* -algebras introduced by Winter and Zacharias. We explain why it is a non-commutative version of topological dimension. After presenting several examples, we give a brief overview of the state of the art.

Publisher

American Mathematical Society

Reference80 articles.

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2. [BGSW] Joan Bosa, James Gabe, Aidan Sims, and Stuart White, The nuclear dimension of 𝒪_{∞}-stable 𝒞*-algebras, arXiv:1906.02066, 2019.

3. Graduate Studies in Mathematics;Brown, Nathanial P.,2008

4. Inductive limits of finite dimensional 𝐶*-algebras;Bratteli, Ola;Trans. Amer. Math. Soc.,1972

5. [Cas16] Jorge Castillejos, Decomposable approximations and coloured isomorphisms for 𝐶*-algebras, PhD thesis, University of Glasgow, 2016.

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