Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Morita equivalence of higher-dimensional noncommutative tori. II   We show that two C*-algebraic noncommutative tori are strongly Morita
equivalent if and only if they have isomorphic ordered K_0-groups and centers,
extending N. C. Phillips's result in the case that the algebras are simple.
This is also generalized to the twisted group C*-algebras of arbitrary finitely
generated abelian groups.

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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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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: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph