English

C*-Algebras for partial product systems over N

Operator Algebras 2019-12-23 v2

Abstract

We define partial product systems over N. They generalise product systems over N and Fell bundles over Z. We define Toeplitz C*-algebras and relative Cuntz-Pimsner algebras for them and show that the section C*-algebra of a Fell bundle over Z is a relative Cuntz-Pimsner algebra. We describe the gauge-invariant ideals in the Toeplitz C*-algebra.

Keywords

Cite

@article{arxiv.1802.07377,
  title  = {C*-Algebras for partial product systems over N},
  author = {Devarshi Mukherjee and Ralf Meyer},
  journal= {arXiv preprint arXiv:1802.07377},
  year   = {2019}
}
R2 v1 2026-06-23T00:28:19.848Z