General Uniform Roe algebra rigidity

On the Invariant Uniform Roe Algebra as Crossed Product

The uniform Roe C U G . The reduced C algebra C G is naturally contained in CU G . We show that the elements of l∞ which are invariant under are of the form l∞ . Finally we show that if and are bounded geometry discrete metric spaces, then

UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA

In this paper, we dene the concepts of compatibility between twofuzzy subsets on Q, the set of states of a max- min general fuzzy automatonand transitivity in a max-min general fuzzy automaton. We then construct auniform structure on Q, and dene a topology on it. We also dene the conceptof semi-uniform structures on a nonempty set X and construct a semi-uniformstructure on the set of states of ...

General relativistic hydrodynamics with a Roe solver

We present a numerical method to solve the equations of general relativistic hydrodynamics in a given external gravitational field. The method is based on a generalization of Roe’s approximate Riemann solver for the non relativistic Euler equations in Cartesian coordinates. The new method is applied to a set of standard test problems for general relativistic hydrodynamics, and is shown to perfo...

K-theory for the Maximal Roe Algebra of Certain Expanders

We study in this paper the maximal version of the coarse BaumConnes assembly map for families of expanding graphs arising from residually finite groups. Unlike for the usual Roe algebra, we show that this assembly map is closely related to the (maximal) Baum-Connes assembly map for the group and is an isomorphism for a class of expanders. We also introduce a quantitative Baum-Connes assembly ma...

Commutative Algebra Commutative Algebra : General