Venue
SMS seminar room
Speaker
S.P.Murugan
Affiliation
C.M.I
Title
Existence of E0-semigroups; the multiparameter case.
Abstract: Let P ⊂ R ^d be a closed convex cone. Assume that P is pointed, i.e. the intersectionP ∩ −P = {0} and P is spanning, i.e. P − P = R ^d . Denote the interior of P by Ω. Let Ebe a product system over Ω. We show that there exists an infinite-dimensional separable Hilbert space H and a semigroup α := {α _x }_ x∈P of unital normal ∗-endomorphisms ofB(H) such that E is isomorphic to the product system associated with α.