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Structure and classification of C*-algebras
[chapter]
Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006
We give an overview of the development over the last 15 years of the theory of simple C * -algebras, in particular in regards to their classification and structure. We discuss dimension theory for (simple) C * -algebras, in particular the so-called stable and real ranks, and we explain how properties of C * -algebras of low dimension (stable rank one and real rank zero) was used by the author and P. Friis to give a new and simple proof of a theorem of H. Lin that almost commuting self-adjoint
doi:10.4171/022-2/75
fatcat:zwn36narnja4thiiy4fccnarqe