Positive Cone in $p$-Operator Projective Tensor Product of Fig\`a-Talamanca-Herz Algebras

Document Type: Research Paper

Author

A member Academic staff of university of Guilan

Abstract

In this paper we define an order structure on the $p$-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between $A_p(G\times H)$ and $A_p(G)\widehat{\otimes}^p A_p(H)$ is an order isomorphism for amenable groups $G$ and $H$.

Keywords