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Results tagged with kt.k-theory-and-homology
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user 176381
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
5
votes
0
answers
61
views
Underlying noncommutative topologies of noncommutative complex varieties
Let $X$ be a (separated) complex algebraic variety. Then we can view its analytification $\newcommand\topo{\text{top}}X^{\topo}$ as a locally compact Hausdorff space. I wonder whether the same constru …
- 2,856
3
votes
0
answers
131
views
Cyclic K-theory as cyclic nerve in a letter of Goodwillie
Kaledin mentioned in https://arxiv.org/abs/2004.04279 Remark 11.5 that, in a letter to Waldhausen by Goodwillie in 1988, Goodwillie showed that the cyclic K-theory can be computed by the geometric rea …
- 2,856
5
votes
1
answer
372
views
Strict graded commutativity of $\pi_*(\operatorname{THH}(A))$?
$\DeclareMathOperator\THH{THH}\DeclareMathOperator\HH{HH}$A version of the strict graded commutativity (i.e. graded commutativity & $x^2=0$ for every homogeneous element $x$ of odd degree) of $\pi_*(\ …
- 10.4k
7
votes
1
answer
2k
views
Algebraic K-theory "with proper support"
I would like to know what is the "correct" algebraic $K$-theory "with proper support". I suppose that the answer should be found in the condensed world, which is mostly inspired the existence of six f …
- 9,283