Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigidity of $\ell^p$ Roe-type algebras   We investigate the rigidity of the $\ell^p$ analog of Roe-type algebras. In
particular, we show that if $p\in[1,\infty)\setminus\{2\}$, then an isometric
isomorphism between the $\ell^p$ uniform Roe algebras of two metric spaces with
bounded geometry yields a bijective coarse equivalence between the underlying
metric spaces, while a stable isometric isomorphism yields a coarse
equivalence. We also obtain similar results for other $\ell^p$ Roe-type
algebras. In this paper, we do not assume that the metric spaces have Yu's
property A or finite decomposition complexity.

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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org