K-theory and the bridge from motives to noncommutative motives

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Fundamental classes in motivic homotopy theory (2018, background): “invariance with respect to the algebraic aﬃne line A1. The stable motivic homotopy category also satisﬁes the six functors formalism (see [Ayo07]). Moreover, it satisﬁes a suitable universal property [Rob15] and contains the classical theories of algebraic geometry, such as Betti cohomology, ´etale ”
The special fiber of the motivic deformation of the stable homotopy category is algebraic (2018, background): “[63] Robalo, M., K-theory and the bridge from motives to noncommutative motives.”