Multiplicativity of signature
نویسندگان
چکیده
منابع مشابه
L-cohomology of Spaces with Non-isolated Conical Singularities and Non-multiplicativity of the Signature
We study from a mostly topological standpoint, the L-signature of certain spaces with non-isolated conical singularities. The contribution from the singularities is identified with a topological invariant of the link fibration of the singularities. This invariant measures the failure of the signature to behave multiplicatively for fibrations for which the boundary of the fibre in nonempty. The ...
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Multiplicativity of certain maximal p → q norms of a tensor product of linear maps on matrix algebras is proved in situations in which the condition of complete positivity (CP) is either augmented by, or replaced by, the requirement that the entries of a matrix representative of the map are non-negative (EP). In particular, for integer t, multiplicativity holds for the maximal 2 → 2t norm of a ...
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It is known that random quantum channels exhibit significant violations of multiplicativity of maximum output p-norms for any p > 1. In this work, we show that a weaker variant of multiplicativity nevertheless holds for these channels. For any constant p > 1, given a random quantum channel N (i.e. a channel whose Stinespring representation corresponds to a random subspace S), we show that with ...
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The quantum mechanical propagators of the linear automorphisms of the two-torus (cat maps) determine a projective unitary representation of the theta group Γ θ ⊂ SL(2, Z). We prove that there exists an appropriate choice of phases in the propagators that defines a proper representation of Γ θ. We also give explicit formulae for the propagators in this representation.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1978
ISSN: 0022-4049
DOI: 10.1016/0022-4049(78)90038-5