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We define a Riesz type interpolation property for the Cuntz semigroup of a C-algebra and prove it is satisfied by the Cuntz semigroup of every C-algebra with the ideal property. Related to this, we ...
We consider a time inhomogeneous strong Markov process (ξt)t0 taking values in a Polish state space whose semigroup has a T -periodic structure. After reviewing some conditions which imply ergodicity...
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As ap-plications, the first eigenvalue, the ...
In this paper we introduce a new Lax-Oleinik type semigroup associated with positive definite Lagrangian systems for both the time-independent case and the time-periodic case. We show that the new La...
We prove the following sharp upper bound for the gradient of the Neumann semigroup Pt on a d-dimensional compact domain with boundary either C2- smooth or convex: k∇Ptk1→∞ ≤c t(d+1)/2 , t > 0,...
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C-algebra. Here we show that the...
In this work, we give a new method to compute the Hilbert basis,a finite set of generators, for the semigroup of certain positive divisors supported on the exceptional divisor of a normal surface sing...

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