Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sheaf theory and Paschke duality   Paschke duality identifies the K-homology of a space X with the K-theory of a
certain dual C*-algebra. We show that Paschke's dual algebra is in a natural
way the algebra of sections of a certain sheaf of C*-algebras over X, which can
be thought of as a sheaf of noncommutative symbols. This conceptually
simplifies a number of constructions in K-homology, such as the association of
a homology class to an elliptic operator and the construction of assembly maps.

7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin