# oa.operator algebras – Trying to understand Haagerup tensor product \$B(H)otimes_{rm h}B(K)\$

I’m self reading Haagerup tensor product of operator spaces. Understanding it properly, I’m trying some examples. Let $$H$$ And $$K$$ be Hilbert space. Let $$B(H)$$ and $$K(H)$$ denotes the spaces of bounded and compact operators on $$H$$?

Can someone explain me what is $$B(H)otimes_{rm h}B(K)$$ and $$B(H)otimes_{rm h}K(H)$$? Are these spaces completely isometric to some well known operator space?

Is there any reference/lecture notes where I can find these kind of stuff?

P.S: The same question was first asked on MSE here.