A Chern-character isomorphism between discrete and continuous Frobenius quotients exists exactly when the defining polynomials are related by an invertible Todd class (f = td·g), and then K_f inherits λ-ring, Chern-class, determinant, and Serre-duality structures.
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A Riemann-Roch theorem for Frobenius quotients
A Chern-character isomorphism between discrete and continuous Frobenius quotients exists exactly when the defining polynomials are related by an invertible Todd class (f = td·g), and then K_f inherits λ-ring, Chern-class, determinant, and Serre-duality structures.