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A Complete Invariant of a Locally Compact Group

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Probability Measures on Groups X
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Abstract

We will begin our discussion with G, a finite group; although our main result is true for the general case that G is a locally compact group. We write out the multiplication table of G, whose elements are the set {g 1, g 2,..., g n } in “symmetric” fashion. Thus,

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References

  1. E. Hewitt and K. Ross, Abstract harmonic Analysis, vol. 2, Springer-Verlag, New York, 1970.

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  2. M. Walter, Positive Definite Functions as a Dual of a Locally Compact Group, submitted.

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  3. M. Walter, Duality Theory for Nonabelian Locally Compact Groups, Symp. Math., vol. XXII, (1977), 47–59.

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  4. W. Arendt and J. DeCanniere, Order Isomorphisms of Fourier-Stieltjes Algebras, Math Ann. 263 (2) (1983), 145–156.

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© 1991 Springer Science+Business Media New York

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Walter, M.E. (1991). A Complete Invariant of a Locally Compact Group. In: Heyer, H. (eds) Probability Measures on Groups X. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2364-6_32

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  • DOI: https://doi.org/10.1007/978-1-4899-2364-6_32

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2366-0

  • Online ISBN: 978-1-4899-2364-6

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