Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A K-homological approach to the quantization commutes with reduction
  problem   Kasparov defined a distinguished K-homology fundamental class, so called the
Dirac element. We prove a localization formula for the Dirac element in
K-homology of crossed product of C^{*}-algebras. Then we define the
quantization of Hamiltonian G-spaces as a push-forward of the Dirac element.
With this, we develop a K-homological approach to the quantization commutes
with reduction theorem.

22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys