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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A construction of uncountably many weak von Neumann transformations


Author: Karl David
Journal: Trans. Amer. Math. Soc. 257 (1980), 397-410
MSC: Primary 28D20
DOI: https://doi.org/10.1090/S0002-9947-1980-0552266-7
MathSciNet review: 552266
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Abstract: We define weak von Neumann transformations and discuss some of their properties, using several examples of countable classes of these transformations. Then we construct an uncountable class by the cutting-and-stacking method. We show that each member of this class is ergodic and has zero entropy.


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DOI: https://doi.org/10.1090/S0002-9947-1980-0552266-7
Article copyright: © Copyright 1980 American Mathematical Society