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arXiv · 1709.07962

On the normally ordered tensor product and duality for Tate objects

Oliver Braunling·Michael Groechenig·Aron Heleodoro·Jesse Wolfson
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Abstract

This paper generalizes the normally ordered tensor product from Tate vector spaces to Tate objects over arbitrary exact categories. We show how to lift bi-right exact monoidal structures, duality functors, and construct external Homs. We list some applications: (1) Pontryagin duality uniquely extends to n-Tate objects in locally compact abelian groups; (2) Adeles of a flag can be written as ordered tensor products; (3) Intersection numbers can be interpreted via these tensor products.

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Oliver Braunling, Michael Groechenig, Aron Heleodoro, Jesse Wolfson. 2017-09-22. On the normally ordered tensor product and duality for Tate objects. https://arxiv.org/abs/1709.07962

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