English

C*-algebras associated with endomorphisms of groups

Functional Analysis 2018-03-13 v2 Operator Algebras

Abstract

In this work we construct a C*-algebra from an injective endomorphisms of some group G, allowing the endomorphism to have infinite cokernel. We generalize results obtained by I. Hirshberg and also by J. Cuntz and A. Vershik. In good cases we show that the C*-algebra that we study is classifiable by Kirchberg's classification theorem, with K-groups equal to K*(C*(G)).

Keywords

Cite

@article{arxiv.1308.1386,
  title  = {C*-algebras associated with endomorphisms of groups},
  author = {Felipe Vieira},
  journal= {arXiv preprint arXiv:1308.1386},
  year   = {2018}
}

Comments

24 pages, no figures

R2 v1 2026-06-22T01:04:59.808Z