(Semi)topological $K$-theory via solidification
K-Theory and Homology
2024-09-04 v1 Operator Algebras
Rings and Algebras
Abstract
Clausen--Scholze introduced the notion of solid spectrum in their condensed mathematics program. We demonstrate that the solidification of algebraic -theory recovers two known constructions: the semitopological -theory of a real (associative) algebra and the topological (aka operator) -theory of a real Banach algebra.
Cite
@article{arxiv.2409.01462,
title = {(Semi)topological $K$-theory via solidification},
author = {Ko Aoki},
journal= {arXiv preprint arXiv:2409.01462},
year = {2024}
}
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23 pages