Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly self-absorbing C*-algebras   Say that a separable, unital C*-algebra D is strongly self-absorbing if there
exists an isomorphism $\phi: D \to D \otimes D$ such that $\phi$ and $id_D
\otimes 1_D$ are approximately unitarily equivalent $*$-homomorphisms. We study
this class of algebras, which includes the Cuntz algebras $\mathcal{O}_2$,
$\mathcal{O}_{\infty}$, the UHF algebras of infinite type, the Jiang--Su
algebra Z and tensor products of $\Oh_{\infty}$ with UHF algebras of infinite
type. Given a strongly self-absorbing C*-algebra D we characterise when a
separable C*-algebra absorbs D tensorially (i.e., is D-stable), and prove
closure properties for the class of separable D-stable C*-algebras. Finally, we
compute the possible K-groups and prove a number of classification results
which suggest that the examples listed above are the only strongly
self-absorbing C*-algebras.

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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: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex