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arXiv · 1608.01425

Commutators in the Endomorphism Ring of a Complex

Steven E. Landsburg
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Abstract

According to an old result of Albert and Muckenhoupt, the commutators in the endomorphism ring of a finite dimensional vector space are precisely the elements of trace zero. We replace the finite dimensional vector space with a complex of finite dimensional vector spaces, and characterize commutators and other elements with commutator-like properties in terms of appropriately defined traces.

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Steven E. Landsburg. 2016-08-04. Commutators in the Endomorphism Ring of a Complex. https://arxiv.org/abs/1608.01425

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