Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Index theory and topological phases of aperiodic lattices   We examine the noncommutative index theory associated to the dynamics of a
Delone set and the corresponding transversal groupoid. Our main motivation
comes from the application to topological phases of aperiodic lattices and
materials, and applies to invariants from tilings as well. Our discussion
concerns semifinite index pairings, factorisation properties of Kasparov
modules and the construction of unbounded Fredholm modules for lattices with
finite local complexity.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys