18,095 research outputs found
Invariants for E_0-semigroups on II_1 factors
We introduce four new cocycle conjugacy invariants for E_0-semigroups on II_1
factors: a coupling index, a dimension for the gauge group, a super product
system and a C*-semiflow. Using noncommutative It\^o integrals we show that the
dimension of the gauge group can be computed from the structure of the additive
cocycles. We do this for the Clifford flows and even Clifford flows on the
hyperfinite II_1 factor, and for the free flows on the free group factor
. In all cases the index is 0, which implies they have trivial
gauge groups. We compute the super product systems for these families and,
using this, we show they have trivial coupling index. Finally, using the
C*-semiflow and the boundary representation of Powers and Alevras, we show that
the families of Clifford flows and even Clifford flows contain infinitely many
mutually non-cocycle-conjugate E_0-semigroups.Comment: 51 page
Modeling of dilution jet flowfields
The present paper will compare temperature field measurements from selected cases in these investigations with distributions calculated with an empirical model based on assumed vertical profile similarity and superposition and with a 3-D elliptic code using a standard K-E turbulence model. The results will show the capability (or lack thereof) of the models to predict the effects of the principle flow and geometric variables
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