On Quasidiagonal C*-algebras

By N. Brown. 2000

76 citations recorded by the source corpus.

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 extensions, quotients, tensor products, ect. of quasidiagonal C*-algebras. We also point out how quasidiagonality is connected to some important open problems.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e829bfa8cbd3ac7cfca5f3a70d49401548015ac3

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In Algebra and Number Theory

1. Stuart White
2. Aaron Tikuisis
3. W. Winter
4. G'abor Szab'o
5. Samuel Evington
6. Jorge Castillejos
7. Andrew S. Toms
8. Z. Niu

In Geometry and Topology

1. Stuart White
2. Aaron Tikuisis
3. W. Winter
4. David Kerr
5. G'abor Szab'o
6. Z. Niu
7. G. Elliott
8. Yasuhiko Sato

In Mathematical Physics

1. Stuart White
2. Aaron Tikuisis
3. W. Winter
4. G'abor Szab'o
5. David Kerr
6. Samuel Evington
7. Jorge Castillejos
8. Z. Niu

Citations in the corpus

• Quasidiagonality of nuclear C*-algebras (2015, background): “, for which there is an approximately central net of finite rank projections converging strongly to the unit (see [69, 76], or [9], or [11, Chapter 7]).”