(Semi)topological $K$-theory via solidification
Clausen--Scholze introduced the notion of solid spectrum in their condensed mathematics program. We demonstrate that the solidification of algebraic $K$-theory recovers two known constructions: the semitopological $K$-theory of a real (associative) algebra and the topological (aka operator) $K$-theo...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | Clausen--Scholze introduced the notion of solid spectrum in their condensed
mathematics program. We demonstrate that the solidification of algebraic
$K$-theory recovers two known constructions: the semitopological $K$-theory of
a real (associative) algebra and the topological (aka operator) $K$-theory of a
real Banach algebra. |
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| DOI: | 10.48550/arxiv.2409.01462 |