English

An example of a solid von Neumann algebra

Operator Algebras 2008-04-03 v1 Functional Analysis

Abstract

We prove that the group-measure-space von Neumann algebra L(T2)SL(2,Z)L^\infty(T^2) \rtimes SL(2,Z) is solid. The proof uses topological amenability of the action of SL(2,Z)SL(2,Z) on the Higson corona of Z2Z^2.

Cite

@article{arxiv.0804.0288,
  title  = {An example of a solid von Neumann algebra},
  author = {Narutaka Ozawa},
  journal= {arXiv preprint arXiv:0804.0288},
  year   = {2008}
}

Comments

4 pages

R2 v1 2026-06-21T10:26:51.482Z