Quasi-representations of Finsler modules over C*-algebras

M. Amyari; M. Chakoshi; M. S. Moslehian

Quasi-representations of Finsler modules over C*-algebras

Operator Algebras 2012-01-13 v2 Functional Analysis

Authors: M. Amyari , M. Chakoshi , M. S. Moslehian

Abstract

We show that every Finsler module over a $C^*$ -algebra has a quasi-representation into the Banach space $\mathbb{B}(\mathscr{H},\mathscr{K})$ of all bounded linear operators between some Hilbert spaces $\mathscr{H}$ and $\mathscr{K}$ . We define the notion of completely positive $\varphi$ -morphism and establish a Stinespring type theorem in the framework of Finsler modules over $C^*$ -algebras. We also investigate the nondegeneracy and the irreducibility of quasi-representations.

Keywords

Finsler modules C*-algebras quasi-representations completely positive φ-morphism Stinespring type theorem nondegeneracy irreducibility

Cite

@article{arxiv.1201.0325,
  title  = {Quasi-representations of Finsler modules over C*-algebras},
  author = {M. Amyari and M. Chakoshi and M. S. Moslehian},
  journal= {arXiv preprint arXiv:1201.0325},
  year   = {2012}
}

Comments

10 pages; some errors/typos are corrected; to appear in J. Operator Theory (JOT)

Quasi-representations of Finsler modules over C*-algebras

Abstract

Keywords

Cite

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