# All nuclear C*-algebras are amenable.

Inventiones mathematicae (1983)

- Volume: 74, page 305-320
- ISSN: 0020-9910; 1432-1297/e

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topHaagerup, U.. "All nuclear C*-algebras are amenable.." Inventiones mathematicae 74 (1983): 305-320. <http://eudml.org/doc/143075>.

@article{Haagerup1983,

author = {Haagerup, U.},

journal = {Inventiones mathematicae},

keywords = {all nuclear C*-algebras are amenable; nuclear C*-algebra; bounded derivation; approximately finite dimensional von Neumann algebra; first cohomology group; virtual diagonal; C*-cross norms; generalized Grothendieck inequality; all amenable C*-algebras are nuclear},

pages = {305-320},

title = {All nuclear C*-algebras are amenable.},

url = {http://eudml.org/doc/143075},

volume = {74},

year = {1983},

}

TY - JOUR

AU - Haagerup, U.

TI - All nuclear C*-algebras are amenable.

JO - Inventiones mathematicae

PY - 1983

VL - 74

SP - 305

EP - 320

KW - all nuclear C*-algebras are amenable; nuclear C*-algebra; bounded derivation; approximately finite dimensional von Neumann algebra; first cohomology group; virtual diagonal; C*-cross norms; generalized Grothendieck inequality; all amenable C*-algebras are nuclear

UR - http://eudml.org/doc/143075

ER -

## Citations in EuDML Documents

top- V. Shul'Man, Operators preserving ideals in C*-algebras
- C. Read, Commutative, radical amenable Banach algebras
- H. Dales, F. Ghahramani, N. Grønbæek, Derivations into iterated duals of Banach algebras
- Alireza Medghalchi, Taher Yazdanpanah, Problems concerning $n$-weak amenability of a Banach algebra
- Eshaghi M. Gordji, F. Habibian, B. Hayati, Ideal amenability of module extensions of Banach algebras
- A. Lau, R. Loy, G. Willis, Amenability of Banach and C*-algebras on locally compact groups

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