Skip to main content
Log in

An Example of a Spatially Nonflat von Neumann Algebra

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. F. Greenleaf, Invariant Means on Topological Groups and Their Applications, New York University (1969).

  2. Yu. O. Golovin, “Homological properties of Hilbert modules on nest operator algebras and over their generalization, ”Mat. Zametki, 41, No. 6, 769–775(1987).

    Google Scholar 

  3. Yu. O. Golovin, “The spatial flatness and injectivity for an indecomposable CSL-algebra, ”Mat. Zametki, 63, No. 1, 9–20(1998).

    Google Scholar 

  4. A. Ya. Helemskii, “A description of spatially projective von Neumann algebras, ”J. Oper. Theory, 32, 391–398(1994).

    Google Scholar 

  5. A. Ya. Helemskii, “A homological characterization of type I factors, ”Dokl. Ross. Akad. Nauk, 344, No. 4 (1995).

  6. A. Ya. Helemskii, “Projective homological classification of C *-algebras, ”Commun. Algebra, 26, No. 3, 977–996(1998).

    Google Scholar 

  7. A. Ya. Helemskii, “31 problems of the homology of the algebras of analysis, ”In: Lect. Notes Math., 1513, 54–78.

  8. A. Ya. Helemskii, “The spatial flatness and injectiveness of Connes operator algebras, ”Extr. Math., 9, No. 1, 75–81(1994).

    Google Scholar 

  9. A. Ya. Helemskii, “The homology in algebras of analysis, ”In: Handbook of Algebra, Vol. II, Elsvir (2000).

  10. G. J. Murphy, C *-Algebras and Operator Theory, Academic Press, Cork (1990).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Polyakov, M.E. An Example of a Spatially Nonflat von Neumann Algebra. Journal of Mathematical Sciences 113, 350–359 (2003). https://doi.org/10.1023/A:1020902317971

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020902317971

Navigation