Smooth K-theory of locally convex algebras, by Hvedri Inassaridze and Tamaz Kandelaki

Smooth K-functors are introduced and the smooth K-theory of locally convex algebras is developed. It is proved that the algebraic and smooth K-functors are isomorphic on the category of quasi-stable with respect to the Grothendieck projective tensor product real (or complex) Frechet algebras.

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