framed bundles; affine bundles; quot scheme group scheme over a base scheme acting on a noetherian locally separated algebraic space; algebraic G-vector bundles; K-theory spectra; Topological K-theory; Bott periodicity; Algebraic K-theory; Bott element; descent theorem; Fary spectral sequence; Kazhdan-Lusztig axioms for an equivariant K-homology theory; Segal's Concentration Theorem; localization 