Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectrum and Analytical Indices of the C*-Algebra of Wiener-Hopf
  Operators   We study multivariate generalisations of the classical Wiener--Hopf algebra,
which is the C$^*$-algebra generated by the Wiener--Hopf operators, given by
the convolutions restricted to convex cones. By the work of Muhly and Renault,
this C$^*$-algebra is known to be isomorphic to the reduced C$^*$-algebra of a
certain restricted action groupoid, given by the action of Euclidean space on a
certain compactification. Using groupoid methods, we construct composition
series for the Wiener--Hopf C$^*$-algebra by a detailed study of this
compactification. We compute the spectrum, and express homomorphisms in
$K$-theory induced by the symbol maps which arise by the subquotients of the
composition series in analytical terms. Namely, these symbols maps turn out to
be given by an analytical family index of a continuous family of Fredholm
operators. In a subsequent paper, we also obtain a topological expression of
these indices.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph