Let A be a C*-algebra, L a closed left ideal of A and p the closed projection related to L. We show that for an xp in A∗∗p (∼= A∗∗/L∗∗) if pAxp ⊂ pAp and px∗xp ∈ pAp then xp ∈ Ap (∼= A/L). The proof goes by interpreting elements of A∗∗p (resp. Ap) as admissible (resp. continuous admissible) vector sections over the base space F (p) = {φ ∈ A∗ : φ ≥ 0, φ(p) = ‖φ‖ ≤ 1} in the notions developed by ...

We develop a continuum description of partially fluidized granular flows. Our theory is based on the hydrodynamic equation for the flow coupled with the order parameter equation, which describes the transition between flowing and static components of the granular system. This theory captures important phenomenology recently observed in experiments with granular flows on rough inclined planes [A...

“a city can be read through its streets”. stéphane douady, professor of dynamics of out-of-equilibrium systems in paris diderot university began his speech with these words. he continued by explaining the significance of the street structure: “when we think of a city, we first think of the houses. while they can be replaced when destroyed or abandoned, the streets remain stable”. dr. douady’s m...

We develop an equivariant Dixmier-Douady theory for locally trivial bundles of C⁎-algebras with fibre D⊗K equipped a fibrewise T-action, where T denotes the circle group and D=End(V)⊗∞ T-representation V. In particular, we show that T-equivariant ⁎-automorphisms AutT(D⊗K) is infinite loop space giving rise to cohomology ED,T⁎(X). Isomorphism classes then form respect tensor product isomorphic E...

There is lymph humor/lymphocytopoietic factor (LHF) in various tissues. However, a definite substance or a definite combination of any substances of LHF in thoracic duct lymph remains unknown. Justification for the conception of a new approach to revealing of LHF composition in native thoracic duct lymph is based on a discovery of mitoses in native thoracic duct lymph of normal immature rabbits...

We give an explicit description of a 1-1 correspondence between Morita equivalence classes of, on the one hand, principal 2-group [G → Aut(G)]bundles over Lie groupoids (i.e. [G → Aut(G)]-bundles over differentiable stacks) and, on the other hand, centralG-extensions of Lie groupoids (i.e. Ggerbes over differentiable stacks). We also introduce universal characteristic classes for 2-group bundle...