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In this article we analyze the quotients of the maximal compact subalgebrasof the split real Kac-Moody algebras of the En series resulting from thegeneralized spin representations introduced in part 1. It turns out that thesequotients satisfy a Cartan-Bott periodicity.  Our findings are also meaningful in the finite-dimensional cases of A2 + A1,A4, D5, E6, E7, E8, where it turns out that the generalized spin representationis injective. Consequently the observed Cartan-Bott periodicity provides astructural explanation for the seemingly sporadic isomorphism types of themaximal compact Lie subalgebras of the split real Lie algebras of types E6, E7,E8.

Generalized spin representations. Part 2: Cartan-Bott periodicity for the split real En series