Bivariant K-theory for bornological algebras
The category ΣHo still lacks many important properties of K-theory like Bott periodicity. Therefore, it does not yet behave like a bivariant version of K-theory. Even more importantly, A ↦ ΣHo(ℂ,A) has nothing to do with K-theory.
KeywordsExact Sequence Banach Algebra Natural Transformation Projective Limit Weyl Algebra
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