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Second Duals of Measure Algebras

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2009

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper we show that M(G)∗∗ determines G when G is a compact topological group. It is a new proof for theorem of Gharamani and Mcclure.
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FULL TEXT (PDF): 
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  • 4
574-577
  • English

REFERENCES

References: 

[1] R. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2(1951), 839–848.
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Edinburgh Sect. A 84 (1979), 309–325.
[3] F. Ghahramani and Anthony To-Ming Lau, Multipliers and ideals in second conjugate
algebras related to locally compact groups, Journal of functional analysis 132 (1995)
170–191.
[4] F. Ghahramani and J. P. Mcclure, The second dual algebra of the measure algebra of a
compact group, Bull. London Math. Soc. 29 (1997) 223–226.
[5] B. E. Johnson, Isometric isomorphisms of measure algebras, Proc. Amer. Math. Soc.
15(1964), 186–188.
[6] J. G. Wendel, Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2
(1952) 251–256.

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