Hochschild homology and truncated cycles

Bergh, Petter; Han, Yang; Madsen, Dag

doi:10.1090/S0002-9939-2011-10942-0

Hochschild homology and truncated cycles
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by Petter Andreas Bergh, Yang Han and Dag Madsen PDF

Proc. Amer. Math. Soc. 140 (2012), 1133-1139 Request permission

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”.

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