Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the construction of fuzzy spaces and modules over shift algebras   We introduce shift algebras as certain crossed product algebras based on
general function spaces and study properties, as well as the classification, of
a particular class of modules depending on a set of matrix parameters. It turns
out that the structure of these modules depends in a crucial way on the
properties of the function spaces. Moreover, for a class of subalgebras related
to compact manifolds, we provide a construction procedure for the corresponding
fuzzy spaces, i.e. sequences of finite dimensional modules of increasing
dimension as the deformation parameter tends to zero, as well as infinite
dimensional modules related to fuzzy non-compact spaces.

30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con