Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ideal structures and rigidity of uniform Roe algebras   In this paper, we study the rigidity of uniform Roe algebras via the ideal
structures. We showed that for given metric spaces X and Y with bounded
geometry, if their uniform Roe algebras are isomorphic, then they are coarse
equivalent.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn