Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Classification of Flows on AFD Factors with Faithful Connes--Takesaki
  Modules   We classify flows on AFD factors with faithful Connes-Takesaki modules. This
is a generalization of classification of trace-scaling flows on the AFD
$\mathrm{II}_\infty$ factor, which is equivalent to the uniqueness of the AFD
$\mathrm{III}_1$ factor. In order to do this, we show that a flow on an AFD
factor with faithful Connes-Takesaki module has the Rohlin property, which
gives a partial answer to a characterization problem of the Rohlin property
posed by Masuda-Tomatsu. It is also possible to think of this result as an
$\mathbf{R}$-version of Izumi's result about compact group actions on type III
factors with faithful Connes-Takesaki modules.

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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph