Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assembly maps with coefficients in topological algebras and the integral
  K-theoretic Novikov conjecture   We prove that any countable discrete and torsion free subgroup of a general
linear group over an arbitrary field or a similar subgroup of an almost
connected Lie group satisfies the integral algebraic K-theoretic (split)
Novikov conjecture over \cpt and \S, where \cpt denotes the C^*-algebra of
compact operators and \S denotes the algebra of Schatten class operators. We
introduce assembly maps with finite coefficients and under an additional
hypothesis, we prove that such a group also satisfies the algebraic K-theoretic
Novikov conjecture over \bar{\mathbb{Q}} and \mathbb{C} with finite
coefficients. For all torsion free Gromov hyperbolic groups G, we demonstrate
that the canonical algebra homomorphism \cpt[G]\map C^*_r(G)\hat{\otimes}\cpt
induces an isomorphism between their algebraic K-theory groups.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys