We determine the periodic cyclic homology of the Iwahori-Hecke algebras Hq, for q ∈ C∗ not a “proper root of unity.” (In this paper, by a proper root of unity we shall mean a root of unity other than 1.) Our method is based on a general result on periodic cyclic homology, which states that a “weakly spectrum preserving” morphism of finite type algebras induces an isomorphism in periodic cyclic ...

The unity of psychology as a science is to be found in its definition as the science of mental life, and its explanation of individual behavior in terms of mental states. This disciplinary focus will help negotiate psychology's relations with other disciplines, such as neuroscience and cognitive science. The unity within psychology between science and practice is to be found in a focus on scien...

The TRUTH of our existence has not been detected by science so far. Why does theoretical physics know nothing about the essence of space, matter, energy and time? How can we come to the true knowledge about our existence? Let us look at the reason of critical situation in contemporary theoretical physics and show how critical logical thinking and reasoning can open the door to the truth. I am s...