Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classifying space for Phillips' equivariant K-theory   In a previous paper, we have constructed, for an arbitrary Lie group G and
any of the fields F=R or C, a good equivariant cohomology theory KF_G^*(-) on
the category of proper $G$-CW-complex and have justified why it deserved the
label ``equivariant K-theory". It was shown in particular how this theory was a
logical extension of the construction of L\"uck and Oliver for discrete groups
and coincided with Segal's classical K-theory when G is a compact group and
only finite G-CW-complexes are considered. Here, we compare our new equivariant
K-theory with that of N.C. Phillips: it is shown how a natural transformation
from ours to his may be constructed which gives rises to an isomorphism when G
is second-countable and only finite proper G-CW-complexes are considered. This
solves the long-standing issue of the existence of a classifying space for
Phillips' equivariant K-theory.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
1
The categories of this paper are: cs
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat