# A hierarchical version of the de Finetti and Aldous-Hoover representations

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Let G be a finite group and H a normal subgroup. D(H; G) is the crossed product of C(H) and CG which is only a subalgebra of D(G), the double algebra of G. One can construct a C*-subalgebra FH of the field algebra F of G-spin models, so that FH is a D(H; G)-module algebra, whereas F is not. Then...

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This note is motivated by a recently published paper (Biswas and Mukherjee in Commun Math Phys 322(2):373-384, ). We prove a no-go result for the existence of suitable solutions of the Strominger system in a compact complex parallelizable manifold $${M = G/\Gamma}$$ . For this, we assume G to be...