Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence between the Morita categories of etale Lie groupoids and of
  locally grouplike Hopf algebroids   Any etale Lie groupoid G is completely determined by its associated
convolution algebra C_c(G) equipped with the natural Hopf algebroid structure.
We extend this result to the generalized morphisms between etale Lie groupoids:
we show that any principal H-bundle P over G is uniquely determined by the
associated C_c(G)-C_c(H)-bimodule C_c(P) equipped with the natural coalgebra
structure. Furthermore, we prove that the functor C_c gives an equivalence
between the Morita category of etale Lie groupoids and the Morita category of
locally grouplike Hopf algebroids.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin