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    • CommentRowNumber1.
    • CommentAuthoradeelkh
    • CommentTimeSep 3rd 2014

    Added a stub at Waldhausen K-theory of a dg-category. I call this the Waldhausen K-theory and not simply K-theory because I imagine that there should also be a more intrinsic definition not passing through Waldhausen categories or stable infinity-categories.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 3rd 2014
    • (edited Sep 3rd 2014)

    Thanks! I have added minimal cross-links at Waldhausen K-theory and at dg-category.

    Which reminds me that the former just redirects to K-theory, eventually we should split that off and expand.

    A few weeks back in New York Clark Barwick had given us a nice perspective on his view of K-theory of Waldhausen \infty-categories as the “absolute” case (in the sense of absolute/𝔽 1\mathbb{F}_1-geometry) of the Cisinski-Tabuada-Gepner-… noncommutative motives, in that the latter may all be obtained by a kind of base change from the “stable Waldhausen \infty-category”.

    I had wanted to give a brief survey of this story on the nnLab, but never got around to.

    The talk video is here.

    • CommentRowNumber3.
    • CommentAuthoradeelkh
    • CommentTimeSep 3rd 2014

    That’s interesting, I will take a look. Thanks!