K-theory of endomorphisms via noncommutative motives

We extend the K-theory of endomorphisms functor from ordinary rings to (stable) ∞-categories. We show that KEnd(-) descends to the category of noncommutative motives, where it is corepresented by the noncommutative motive associated to the tensor algebra S[t] of the sphere spectrum S. Using this cor...

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Bibliographic Details
Main Authors: Blumberg, Andrew J., Gepner, David, Trigo Neri Tabuada, Goncalo Jorge
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society (AMS) 2016
Online Access:http://hdl.handle.net/1721.1/105205
https://orcid.org/0000-0001-5558-9236