Petter A. Bergh, Yang Han, Dag Madsen (postdoc '08-10)
Abstract: We study algebras having 2-truncated cycles and show that these algebras have infinitely many nonzero Hochschild homology groups. Consequently, algebras of finite global dimension have no 2-truncated cycles and therefore satisfy a higher version of the "no loops conjecture".
Journal: Proc. Amer. Math. Soc. 140 (2012), 1133-1139
URL: http://dx.doi.org/10.1090/S0002-9939-2011-10942-0