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arXiv · 2303.16248

Polar decomposition in algebraic K-theory

Pawel Sarkowicz·Aaron Tikuisis
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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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Pawel Sarkowicz, Aaron Tikuisis. 2023-03-28. Polar decomposition in algebraic K-theory. https://arxiv.org/abs/2303.16248

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