# A relation between Hochschild cohomology of a \$C^*\$ algebra and its bidual

Let $$A$$ be a $$C^*$$ algebra and $$A”$$ be its bidial with the Arens product. Is there any relation between the Hochschild cohomolgy of $$A$$ with complex coefficients and the Hochschild cohomology of $$A”$$?