Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cocycle conjugacy of quasifree endomorphisms semigroups on the CAR
  algebra   W. Arveson has described a cocycle conjugacy class $U(\alpha)$ of
$E_0$-semigroup $\alpha$ on B(H) which is a factor of type $\rm I$. Under some
conditions on $\alpha$, there is a $E_0$-semigroup $\beta \in U(\alpha)$ being
a flow of shifts in the sence of R.T. Powers. We study quasifree endomorphisms
semigroups $\alpha$ on the hyperfinite factor $M=\pi (A(K))''$ generated by the
representations $\pi$ of the algebra of canonical anticommutation relations
A(K) over a separable Hilbert space K. The type of M can be $\rm I$, $\rm II$
or $\rm III$ depending on $\pi$. The cocycle conjugacy class $U(\alpha)$ is
described in the terms of initial isometrical semigroups in K and an analogue
of the Arveson result for the hyperfinite factors M of the type $\rm II_1$ and
$\rm III_{\lambda}, 0<\lambda <1,$ is introduced.

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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th