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A generalized Kakutani-Kodaira theorem


Author: Zhiguo Hu
Journal: Proc. Amer. Math. Soc. 133 (2005), 3437-3440
MSC (2000): Primary 22D05
DOI: https://doi.org/10.1090/S0002-9939-05-07936-0
Published electronically: May 9, 2005
MathSciNet review: 2161170
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Abstract: In this note, we present a generalized Kakutani-Kodaira theorem for all locally compact groups.


References [Enhancements On Off] (What's this?)

  • 1. W. W. Comfort, Topological groups, Chapter 24 in: K. Kunen and J. E. Vaughan (eds.), Handbook of Set-Theoretic Topology, North-Holland, New York, 1984, 1143-1263. MR 0776643 (86g:22001)
  • 2. M. Enock - J.-M. Schwartz, Kac Algebras and Duality of Locally Compact Groups, Springer-Verlag, New York, 1992. MR 1215933 (94e:46001)
  • 3. F. P. Greenleaf - M. Moskowitz, Cyclic vectors for representations associated with positive definite measures: nonseparable groups, Pacific J. Math. 45 (1973), 165-186. MR 0349896 (50:2389)
  • 4. E. Hewitt - K. A. Ross, Abstract Harmonic Analysis II, Springer-Verlag, New York, 1970. MR 0262773 (41:7378)
  • 5. E. Hewitt - K. A. Ross, Abstract Harmonic Analysis I, Springer-Verlag, New York, 1979. MR 0551496 (81k:43001)
  • 6. K. H. Hofmann - S. A. Morris, The Structure of Compact Groups: A Primer for the Student - A Handbook for the Expert, de Gruyter Studies in Math. 25, Walter de Gruyter and Co., Berlin, 1998. MR 1646190 (99k:22001)
  • 7. Z. Hu, On the set of topologically invariant means on the von Neumann algebra $VN(G)$, Illinois J. Math. 39 (1995), 463-490. MR 1339838 (96e:22012)
  • 8. Z. Hu, Maximally decomposable von Neumann algebras on locally compact groups and duality, Preprint, 2004.
  • 9. S. Kakutani - K. Kodaira, Über das Haarsche Mass in der lokal bikompakten Gruppe, Proc. Imp. Acad. Tokyo 20 (1944), 444-450. MR 0014401 (7:279d)
  • 10. A. T. Lau - V. Losert, Complementation of certain subspaces of $L_{\infty}(G)$ of a locally compact group, Pacific J. Math. 141 (1990), 295-310. MR 1035445 (91g:43008)

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Additional Information

Zhiguo Hu
Affiliation: Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada N9B 3P4
Email: zhiguohu@uwindsor.ca

DOI: https://doi.org/10.1090/S0002-9939-05-07936-0
Keywords: Locally compact groups, cardinal invariants of locally compact groups, the Kakutani-Kodaira Theorem
Received by editor(s): November 27, 2003
Received by editor(s) in revised form: June 22, 2004
Published electronically: May 9, 2005
Additional Notes: This research was supported by an NSERC grant.
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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