Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizing the analytic surgery group of Higson and Roe geometrically,
  Part I: The geometric model   We construct a geometric analog of the analytic surgery group of Higson and
Roe for the assembly mapping for free actions of a group with values in a
Banach algebra completion of the group algebra. We prove that the geometrically
defined group, in analogy with the analytic surgery group, fits into a six term
exact sequence with the assembly mapping and also discuss mappings with domain
the geometric group. In particular, given two finite dimensional unitary
representations of the same rank, we define a map in the spirit of $\eta$-type
invariants from the geometric group (with respect to assembly for the full
group $C^*$-algebra) to the real numbers.

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The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys