Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral flow and Dixmier traces   We obtain general theorems which enable the calculation of the Dixmier trace
in terms of the asymptotics of the zeta function and of the heat operator in a
general semi-finite von Neumann algebra. Our results have several applications.
We deduce a formula for the Chern character of an odd ${\mathcal
L}^{(1,\infty)}$-summable Breuer-Fredholm module in terms of a Hochschild
1-cycle. We explain how to derive a Wodzicki residue for pseudo-differential
operators along the orbits of an ergodic $\IR^n$ action on a compact space $X$.
Finally we give a short proof an index theorem of Lesch for generalised
Toeplitz operators.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat