Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted conjugacy classes in residually finite groups   We prove for residually finite groups the following long standing conjecture:
the number of twisted conjugacy classes of an automorphism of a finitely
generated group is equal (if it is finite) to the number of finite dimensional
irreducible unitary representations being invariant for the dual of this
automorphism. Also, we prove that any finitely generated residually finite
non-amenable group has the R-infinity property (any automorphism has infinitely
many twisted conjugacy classes). This gives a lot of new examples and covers
many known classes of such groups.

35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph