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arXiv · 1305.0791

Projective Tensor Products of $C^*$-algebras

Ajay Kumar·Vandana Rajpal
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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.

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Ajay Kumar, Vandana Rajpal. 2013-05-03. Projective Tensor Products of $C^*$-algebras. https://arxiv.org/abs/1305.0791

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