Cohomology of operator algebras. III : reduction to normal cohomology

B.E. Johnson; Richard V. Kadison; John R. Ringrose

Bulletin de la Société Mathématique de France (1972)

  • Volume: 100, page 73-96
  • ISSN: 0037-9484

How to cite

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Johnson, B.E., Kadison, Richard V., and Ringrose, John R.. "Cohomology of operator algebras. III : reduction to normal cohomology." Bulletin de la Société Mathématique de France 100 (1972): 73-96. <http://eudml.org/doc/87199>.

@article{Johnson1972,
author = {Johnson, B.E., Kadison, Richard V., Ringrose, John R.},
journal = {Bulletin de la Société Mathématique de France},
language = {eng},
pages = {73-96},
publisher = {Société mathématique de France},
title = {Cohomology of operator algebras. III : reduction to normal cohomology},
url = {http://eudml.org/doc/87199},
volume = {100},
year = {1972},
}

TY - JOUR
AU - Johnson, B.E.
AU - Kadison, Richard V.
AU - Ringrose, John R.
TI - Cohomology of operator algebras. III : reduction to normal cohomology
JO - Bulletin de la Société Mathématique de France
PY - 1972
PB - Société mathématique de France
VL - 100
SP - 73
EP - 96
LA - eng
UR - http://eudml.org/doc/87199
ER -

References

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  1. [1] AKEMANN (C. A.). — The dual space of an operator algebra, Trans. Amer. math. Soc., t. 126, 1967, p. 286-302. Zbl0157.44603MR34 #6549
  2. [2] DAY (M. M.). — Amenable semi-groups, Illinois J. Math., t. 1, 1957, p. 509-544. Zbl0078.29402MR19,1067c
  3. [3] DIXMIER (J.). — Les algèbres d'opérateurs dans l'espace hilbertien. 2e édition. — Paris, Gauthier-Villars, 1969 (Cahiers scientifiques, 25). Zbl0175.43801
  4. [4] HOCHSCHILD (G. P.). — On the cohomology groups of an associative algebra, Annals of Math., t. 46, 1945, p. 58-67. Zbl0063.02029MR6,114f
  5. [5] JOHNSON (B. E.). — Cohomology in Banach algebras (to appear). Zbl0256.18014
  6. [6] KADISON (R. V.). — Derivations of operator algebras, Annals of Math., t. 83, 1966, p. 280-293. Zbl0139.30503MR33 #1747
  7. [7] KADISON (R. V.) and RINGROSE (J. R.). — Cohomology of operator algebras, I: Type I von Neumann algebras, Acta Math., Uppsala, t. 126, 1971, p. 227-243. Zbl0209.44501MR44 #809
  8. [8] KADISON (R. V.) and RINGROSE (J. R.). — Cohomology of operator algebras, II: Extended cobounding and the hyperfinite case, Arkiv. för Mat., t. 9, 1971, p. 55-63. Zbl0214.38402MR47 #7453
  9. [9] TAKESAKI (M.). — On the conjugate space of an operator algebra, Tôhoku math. J., t. 10, 1958, p. 194-203. Zbl0089.10703MR20 #7227

Citations in EuDML Documents

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  1. Ian G. Craw, Axiomatic cohomology of operator algebras
  2. Massoud Amini, Module Connes amenability of hypergroup measure algebras
  3. Bahman Hayati, Abasalt Bodaghi, Massoud Amini, Operator Connes-amenability of completely bounded multiplier Banach algebras
  4. A. Connes, Quelques aspects de la théorie des algèbres d'opérateurs
  5. Mohammad Ramezanpour, Character Connes amenability of dual Banach algebras
  6. Ivan Dobrakov, On integration in Banach spaces, XIII. Integration with respect to polymeasures

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