We study the Pimsner algebra associated with the module of continuous sections of a Hilbert bundle, and prove that it is a continuous bundle of Cuntz algebras. We discuss the role of such Pimsner algebras w.r.t. the notion of inner endomorphism. Furthermore, we study bundles of Cuntz algebras carrying a global circle action, and assign to them a class in the representable KK -group of the zero-...

On Graphs With A Given Endomorphism Monoid Benjamin Shemmer Hedrĺın and Pultr proved that for any monoid M there exists a graph G with endomorphism monoid isomorphic to M. We will give a construction G(M) for a graph with prescribed endomorphism monoid M. Using this construction we derive bounds on the minimum number of vertices and edges required to produce a graph with a given endomorphism mo...

This article concerns the blow up behavior for Henon type parabolic equation withexponential nonlinearity, $$ u_t=\Delta u+|x|^{\sigma}e^u\quad \text{in } B_R\times \mathbb{R}_+, where \(\sigma\geq 0\) and \(B_R=\{x\in\mathbb{R}^N: |x|<R\}\).We consider all cases in which blowup of solutions occurs, i.e. \(N\geq 10+4\sigma\).Grow rates are established by a certain matching different asymptot...

Endomorphism rings of modules appear as the center of a ring, as the fix ring of a ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain ∗-prime modules have a prime endomorphism ring. Several conditions are presented that guarantee the primeness of the endomorphism ring. The contours of a possible example of a ∗-prime module who...

Heat is the enemy of stability, and nowhere is this more true than in living cells, whose delicately folded proteins fall apart as temperatures rise. To combat this crisis, cells mount a ‘‘heat shock response,’’ a central feature of which is the coordinated production of chaperone proteins, to refold proteins that can be salvaged, and proteases, to degrade those that can’t. In the Escherichia c...

Introduction: Bacteria have at least one sigma factor (σ-factor) that transcribes the genes required for cell viability. Usually, transcription of σ-factors occurs and changes in response to a variety of environmental stresses. Expression of σ-factors is one of the strategies which is used in response to different stress conditions. This study was aimed to evaluate the effects...

To examine the amplification of the effects of low-frequency electric fields due to the junction between the cells, the amplitude of transmembrane potential P(TMP0), the time-averaged normal stress sigma(n) and the outward force density sigma(out) on the shell-phase, and the squared intensity I(ee) of electric fields in the inner and the outer phases induced by uniform external ac fields were c...

Let f be a polynomial endomorphism of degree d ≥ 2 of C k (k ≥ 2) which extends to a holomorphic endomorphism of P k. Assume that the maximal order Julia set of f is laminated by real hypersurfaces in some open set. We show that f is homogenous and is a polynomial lift of a Lattès endomorphism of P k−1 .