We give an example of an F-space which has non-trivial compact endomorphisms, but does not have any non-trivial continuous linear functionals.

We characterize mildly mixing group actions of a noncompact locally compact second countable group G using orbit equivalence We show an amenable action of G is mildly mixing if and only if G is amenable and for any nonsingular ergodic G action the product G action is orbit equivalent to We extend the result to the case of nite measure preserving noninvertible endomorphisms i e when G N and show...

We prove that for every compact Kähler manifold X the cup product H ∗(X, TX)⊗ H ∗(X,Ω∗X ) → H ∗(X,Ω∗−1 X ) can be lifted to an L∞-morphism from the Kodaira-Spencer differential graded Lie algebra to the suspension of the space of linear endomorphisms of the singular cohomology of X. As a consequence we get an algebraic proof of the principle “obstructions to deformations of compact Kähler manif...

In the framework of locally covariant quantum field theory, a theory is described as a functor from a category of spacetimes to a category of ∗-algebras. It is proposed that the global gauge group of such a theory can be identified as the group of automorphisms of the defining functor. Consequently, multiplets of fields may be identified at the functorial level. It is shown that locally covaria...

Let $X$ be a normal compact K\"ahler space of dimension $n$. A surjective endomorphism $f$ such is int-amplified if $f^*\xi-\xi=\eta$ for some classes $\xi$ and $\eta$. First, we show that this definition generalizes the notion in projective setting. Second, prove cases being smooth, surface or threefold with mild singularities, admits an pseudo-effective canonical divisor, then it $Q$-torus. F...