We have denoted an element of the loop group and its representative in the Fock space by the same symbol. Now, we can compose the action of an inner automorphism gˆ and an outer automorphism Aut f for f ∈ P G on the CAR algebra as Aut f Autgˆ Aut−f 1a∗(v) = a∗...
We have denoted an element of the loop group and its representative in the Fock space by the same symbol. Now, we can compose the action of an inner automorphism g^ and an outer automorphism Autf for f∈PG on the CAR algebra as ...
In the non-tracial case without zero modes (ker H = {0}), we completely determine all twisted KMS functionals and fully understand the KMS states on the crossed products (Sect. 3.2). It turns out that the Gibbs-type condition R. Correa da Silva et al. Ann. Henri Poincar´e TrHodd...