## Advanced Studies in Pure Mathematics

### On quasidiagonal $C^*$-algebras

Nathanial P. Brown

#### Abstract

We give a detailed survey of the theory of quasidiagonal $C^*$-algebras. The main structural results are presented and various functorial questions around quasidiagonality are discussed. In particular we look at what is currently known (and not known) about tensor products, quotients, extensions, free products, etc. of quasidiagonal $C^*$-algebras. We also point out how quasidiagonality is connected to some important open problems.

#### Article information

Dates
First available in Project Euclid: 1 January 2019

https://projecteuclid.org/ euclid.aspm/1546368824

Digital Object Identifier
doi:10.2969/aspm/03810019

Mathematical Reviews number (MathSciNet)
MR2059800

Zentralblatt MATH identifier
1065.46033

Subjects
Primary: 46L
Secondary: 46L05: General theory of $C^*$-algebras

#### Citation

Brown, Nathanial P. On quasidiagonal $C^*$-algebras. Operator Algebras and Applications, 19--64, Mathematical Society of Japan, Tokyo, Japan, 2004. doi:10.2969/aspm/03810019. https://projecteuclid.org/euclid.aspm/1546368824