Jordan systems of Martindale-like quotients

jordan c-dynamical systems

in the first chapter we study the necessary background of structure of commutators of operators and show what the commutator of two operators on a separable hilbert space looks like. in the second chapter we study basic property of jb and jb-algebras, jc and jc-algebras. the purpose of this chapter is to describe derivations of reversible jc-algebras in term of derivations of b (h) which are we...

Periodic Quotients of Free-like Groups

Let G be a free-like group, meaning that G is either non-elementary (word) hyperbolic or G is large (in the sense of Gromov). In this paper we suggest several approaches to construct continuous families of periodic quotients of G which enjoy various properties. The first three methods work for any non-elementary hyperbolic group, producing three different continua of periodic quotients of G. Th...

Cyclic Quotients of Knot like Groups

We generalize a somewhat weakened form of the the cyclic surgery theorem to a wider class of knot-like groups.

Finite quotients of controllable systems

Finite abstractions of infinite state models have been critical in enabling and applying formal and algorithmic verification methods to continuous and hybrid systems. This has triggered the study and characterization of classes of continuous dynamics which can be abstracted by finite transition systems. In this paper, we focus on synthesis rather than analysis. In this spirit, we show that give...

The Extra Pharmacopœia—Martindale