Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristic Functions for Ergodic Tuples   Motivated by a result on weak Markov dilations, we define a notion of
characteristic function for ergodic and coisometric row contractions with a
one-dimensional invariant subspace for the adjoints. This extends a definition
given by G. Popescu. We prove that our characteristic function is a complete
unitary invariant for such tuples and show how it can be computed.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph