Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lefschetz numbers for C*-algebras   Using Poincare duality, we formulate a formula of Lefschetz type which
computes the Lefschetz number of an endomorphism of a separable, nuclear
C*-algebra satisfying Poincare duality and the Kunneth theorem. (The Lefschetz
number of an endomorphism is the graded trace of the induced map on K-theory
tensored with the complex numbers, as in the classical case.) We then consider
endomorphisms of Cuntz-Krieger algebras O_A. An endomorphism has an invariant,
which is a permutation of an infinite set, and the contracting and expanding
behavior of this permutation describes the Lefschetz number of the
endomorphism. Using this description we derive a closed polynomial formula for
the Lefschetz number depending on the matrix A and the presentation of the
endomorphism.

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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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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: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat