English

A not so simple local multiplier algebra

Operator Algebras 2007-05-23 v1

Abstract

We construct an AF-algebra AA such that its local multiplier algebra Mloc(A)M_{\text{loc}}(A) does not agree with Mloc(Mloc(A))M_{\text{loc}}(M_{\text{loc}}(A)), thus answering a question raised by G.K. Pedersen in 1978.

Cite

@article{arxiv.math/0509437,
  title  = {A not so simple local multiplier algebra},
  author = {Pere Ara and Martin Mathieu},
  journal= {arXiv preprint arXiv:math/0509437},
  year   = {2007}
}

Comments

18 pages