Projective Tensor Products of $C^*$-algebras

Ajay Kumar; Vandana Rajpal

Projective Tensor Products of $C^*$-algebras

Operator Algebras 2013-05-06 v1

Authors: Ajay Kumar , Vandana Rajpal

Abstract

For $C^*$ -algebras $A$ and $B$ , we study the bi-continuity of the canonical embedding of $A^{**}\ot_{\gamma} B^{**}$ ( $A^{**}\hat{\ot} B^{**}$ ) into $(A \ot_{\gamma} B)^{**}$ (resp. $(A \hat{\ot} B)^{**}$ ), and its isomorphism. Ideal structure of $A\hat{\ot} B$ has been obtained in case $A$ or $B$ has only finitely many closed ideals.

Keywords

c*-algebras hilbert modules c*-algebra

Cite

@article{arxiv.1305.0791,
  title  = {Projective Tensor Products of $C^*$-algebras},
  author = {Ajay Kumar and Vandana Rajpal},
  journal= {arXiv preprint arXiv:1305.0791},
  year   = {2013}
}

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