Fundamental isomorphism conjecture via noncommutative motives

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3 Citations (Scopus)


Given a group, we construct a “fundamental localizing invariant” on its orbit category. We prove that any isomorphism conjecture valid for this fundamental invariant implies the same isomorphism conjecture for all localizing invariants, like non-connectiveK-theory, Hochschild homology, cyclic homology, and so on. Then, we discuss how to reduce such a fundamental isomorphism conjecture to essentiallyK-theoretic ones. Finally, we develop the analogue additive results.
Original languageUnknown
Pages (from-to)791-798
JournalMathematische Nachrichten
Issue number8-9
Publication statusPublished - 1 Jan 2013

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