Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prime Poisson suspensions   We establish a necessary and sufficient condition for a Poisson suspension to
be prime. The proof is based on the Fock space structure of the $L^{2}$-space
of the Poisson suspension. We give examples of explicit infinite measure
preserving systems, in particular non-singular compact group rotations that
give rise to prime Poisson suspensions. We also compare some properties of so
far known prime transformations with those of our examples, showing that these
examples are new.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: eess