Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ellis semigroup of bijective substitutions   For topological dynamical systems $(X,T,\sigma)$ with abelian group $T$ which
admit an equicontinuous factor $\pi:(X,T,\sigma)\to (Y,T,\delta)$ the Ellis
semigroup $E(X)$ is an extension of $Y$ by its subsemigroup $E^{fib}(X)$ of
elements which preserve the fibres of $\pi$. We establish methods to compute
$E^{fib}(X)$ and use them to determine the Ellis semigroup of dynamical systems
arising from primitive aperiodic bijective substitutions. As an application we
show that for these substitution shifts, the virtual automorphism group is
isomorphic to the classical automorphism group.

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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th