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Local 3-cocycles of von Neumann algebras

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Abstract

We show that every local 3-cocycle of a von Neumann algebra \(\mathcal{R}\) into an arbitrary unital dual \(\mathcal{R}\)-bimodule \(\mathcal{S}\) is a 3-cocycle.

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References

  1. Kadison R V. Local derivation. Journal of Algebra, 130: 494–509 (1990)

    Article  MATH  Google Scholar 

  2. Larson D R, Sourour A R. Local derivations and local automorphisms of B(X). In: Proceedings Symposia in Pure Mathematics, Vol. 51, Part 2. Providence RI: Amer Math Soc, 1990, 187–193

    Google Scholar 

  3. Johnson B E, Kadison R V, Ringrose J R. Cohomology of operator algebras. III. Reduction to nomal cohomology. Bull Soc Math France, 100: 73–96 (1972)

    MATH  Google Scholar 

  4. Kadison R V, Ringrose J R. Cohomology of operator algebras, I. Type I von Neumann algebras. Acta Math, 126: 55–63 (1971)

    Article  Google Scholar 

  5. Zhang J H. Local 2-cocyles. Appl Math J Chinese Univ Ser B, 17: 284–290 (2002)

    Article  Google Scholar 

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Correspondence to Cheng-jun Hou.

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This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10201007 and A0324614) and the Natural Science Foundation of Shandong Province (Grant No. Y2006A03)

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Hou, Cj., Fu, By. Local 3-cocycles of von Neumann algebras. SCI CHINA SER A 50, 1240–1250 (2007). https://doi.org/10.1007/s11425-007-0060-1

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  • DOI: https://doi.org/10.1007/s11425-007-0060-1

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