Diagonal-preserving ring *-isomorphisms of Leavitt path algebras

Jonathan H. Brown; Lisa Orloff Clark; Astrid an Huef

Diagonal-preserving ring *-isomorphisms of Leavitt path algebras

Rings and Algebras 2016-04-05 v3 Operator Algebras

Authors: Jonathan H. Brown , Lisa Orloff Clark , Astrid an Huef

Abstract

The graph groupoids of directed graphs are topologically isomorphic if and only if there is a diagonal-preserving ring *-isomorphism between the Leavitt path algebras.

Keywords

Leavitt path algebras graph groupoids directed graphs diagonal-preserving ring *-isomorphisms topological isomorphism

Cite

@article{arxiv.1510.05309,
  title  = {Diagonal-preserving ring *-isomorphisms of Leavitt path algebras},
  author = {Jonathan H. Brown and Lisa Orloff Clark and Astrid an Huef},
  journal= {arXiv preprint arXiv:1510.05309},
  year   = {2016}
}

Comments

We were able to remove a hypothesis from our main results. Previously, we needed the ring *-isomorphism to restrict to an algebra homomorphism on the diagonal

Diagonal-preserving ring *-isomorphisms of Leavitt path algebras

Abstract

Keywords

Cite

Comments

Related papers