Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Results and a K-theory Problem about Threshold Commutants mod
  Normed Ideals   We extend to the case of a threshold ideal our result with J. Bourgain about
the essential centre of the commutant mod a diagonalization ideal for a n-tuple
of commuting Hermitian operators . We also compute the $K_0$-group of the
commutant mod trace-class of a unitary operator with spectrum equal to its
essential spectrum. We present the problem of computing the $K_1$-group for a
commutant mod trace-class in its simplest case.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph