@article{19621,
  abstract     = {In this paper we obtain a complete description of all indecomposable characters (central positive-definite functions) of inductive limits of the symmetric groups under block diagonal embedding. As a corollary we obtain the full classification of the isomorphism classes of these inductive limits.},
  author       = {Nessonov, Nikolay and Ngo, Nhok T},
  issn         = {1088-4165},
  journal      = {Representation Theory},
  number       = {8},
  pages        = {256--288},
  publisher    = {American Mathematical Society},
  title        = {{Indecomposable characters of inductive limits of symmetric groups}},
  doi          = {10.1090/ert/689},
  volume       = {29},
  year         = {2025},
}