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Problems on Measure Algebras

Published online by Cambridge University Press:  20 November 2018

Robert Kaufman
Robert Kaufman*
Affiliation:
University of Illinois, Urbana, Illinois
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Suppose that G is a locally compact abelian group, u an element of infinite order, and w a complex number of modulus 1. It is a familiar fact that there is a complex homomorphism Ψ of the measure algebra M of G, which maps ϵu (the unit mass concentrated at u) to w. Beyond this, one may specify an element μ of M, and require a homomorphism Ψ which does not annihilate μ. The resolution of this problem leads to an abstract lemma on measurable transformations, derived in some generality in the first section.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 291 - 297
Copyright
Copyright © Canadian Mathematical Society 1968

References

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