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arXiv · 1405.7113

Scaled-free objects II

Will Grilliette
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Abstract

This work creates two categories of "array-weighted sets" for the purposes of constructing universal matrix-normed spaces and algebras. These universal objects have the analogous universal property to the free vector space, lifting maps completely bounded on a generation set to a completely bounded linear map of the matrix-normed space. Moreover, the universal matrix-normed algebra is used to prove the existence of a free product for matrix-normed algebras using algebraic methods.

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Will Grilliette. 2014-05-28. Scaled-free objects II. https://doi.org/10.15352/afa/06-3-18

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