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math.OA2020
Asymptotic dimension and coarse embeddings in the quantum setting
Javier Alejandro Chávez-Domínguez, Andrew T. Swift
We generalize the notions of asymptotic dimension and coarse embeddings from metric spaces to quantum metric spaces in the sense of Kuperberg and Weaver. We show that quantum asymp…
math.OA2020
Completely coarse maps are -linear
Bruno M. Braga, Javier Alejandro Chávez-Domínguez
A map between operator spaces is called completely coarse if the sequence of its amplifications is equi-coarse. We prove that all completely coarse maps must be -linear.…