Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morita Equivalence of Brandt Semigroup Algebras   We prove that for every group $G$ and any two sets $I,J$, the Brandt
semigroup algebras $\ell(B(I,G))$ and $\ell(B(J,G))$ are Morita equivalent with
respect to the Morita theory of self-induced Banach algebras introduced by
Gronbaek. As applications, we show that if $G$ is an amenable group, then for a
wide class of Banach $\ell(B(I,G))$-bimodules $E$, and every $n>0$, the bounded
Hochschild cohomology groups $H^n(\ell(B(I,G)),E^*)$ are trivial, and also, the
notion of approximate amenability is not Morita invariant.

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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc