Polar decomposition in algebraic K-theory
Operator Algebras
2023-06-21 v2
Abstract
We show that the Hausdorffized algebraic K-theory of a C*-algebra decomposes naturally as a direct sum of the Hausdorffized unitary algebraic K-theory and the space of continuous affine functions on the trace simplex. Under mild regularity hypotheses, an analogous natural direct sum decomposition holds for the ordinary (non-Hausdorffized) algebraic K-theory.
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Cite
@article{arxiv.2303.16248,
title = {Polar decomposition in algebraic K-theory},
author = {Pawel Sarkowicz and Aaron Tikuisis},
journal= {arXiv preprint arXiv:2303.16248},
year = {2023}
}
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