Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted K-theory, K-homology and bivariant Chern-Connes type character
  of some infinite dimensional spaces   We study the twisted K-theory and K-homology of some infinite dimensional
spaces, like SU(\infty), in the bivariant setting. Using a general procedure
due to Cuntz we construct a bivariant K-theory on the category of separable
\sigma-C^*-algebras that generalizes both twisted K-theory and K-homology of
(locally) compact spaces. We construct a bivariant Chern--Connes type character
taking values in bivariant local cyclic homology. We analyse the structure of
the dual Chern--Connes character from (analytic) K-homology to local cyclic
cohomology under some reasonable hypotheses. We also investigate the twisted
periodic cyclic homology via locally convex algebras and the local cyclic
homology via C^*-algebras (in the compact case).

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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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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: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas