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- W2951371963 abstract "Given $k>0$ and an Abelian countable discrete group $G$ with elements of infinite order, we construct $(i)$ rigid funny rank-one infinite measure preserving (i.m.p.) $G$-actions of ergodic index $k$, $(ii)$ 0-type funny rank-one i.m.p. $G$-actions of ergodic index $k$, $(iii)$ funny rank-one i.m.p. $G$-actions $T$ of ergodic index 2 such that the product $Ttimes T^{-1}$ is not ergodic. It is shown that $Ttimes T^{-1}$ is conservative for each funny rank-one $G$-action $T$." @default.
- W2951371963 created "2019-06-27" @default.
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- W2951371963 date "2014-12-13" @default.
- W2951371963 modified "2023-09-27" @default.
- W2951371963 title "Finite ergodic index and asymmetry for infinite measure preserving actions" @default.
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