Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The kernel of the determinant map on certain simple C*-algebras   Let A be a unital separable simple C*-algebra such that either (1) A has real
rank zero, strict comparison and cancellation or (2) A is TAI. We study the
kernel of the de la Harpe--Skandalis determinant on GL^0(A), proving that the
determinant vanishes exactly on elements which are products of 8 multiplicative
commutators. We also have results for the unitary case.

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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: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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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: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol