Do there exist some reference books about nuclear dimension of $C^*$-algebras.
I saw some papers concerning the nuclear dimension of $C^*$-algebras and found it difficult to understand the proofs of some propositions.
Do there exist some reference books about nuclear dimension of $C^*$-algebras.
I saw some papers concerning the nuclear dimension of $C^*$-algebras and found it difficult to understand the proofs of some propositions.
Copyright © 2021 JogjaFile Inc.
The concept of nuclear dimension is still relatively young, so I doubt there are any books with a systematic treatment of it. That said, I am aware of a soon to be published book by Karen Strung (see here) which has a short section detailing the basic properties of nuclear dimension.
Until that book comes out, I would recommend reading through the original paper of Winter and Zacharias (on the arxiv here). Another option would be to first read about decomposition rank, a precursor to nuclear dimension, starting with the original paper (on the arxiv here).