Hochschild homology and trivial extension algebras

We prove that if an algebra is either selfinjective, local or graded, then the Hochschild homology dimension of its trivial extension is infinite. © 2017. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: http://www.ams.org/journals/proc/2017-145-04/S0002-9939-2016-13363-7/home.html