Liberalization, Investment, and Regulation: The Key Factors for the Development of the Electronic Communications Market

The key factors for the development of the electronic communication market include partial liberalization; full, direct, or indirect investments; and competitive regulation based on transparency and non-discrimination. They are used efficiently in preventing anti-competitive practices through the use of appropriate basic instruments of transparency and non-discrimination. They are used in the proper selection of the “best practice” design and implementation of primary and secondary laws. It is an efficient regulatory framework; it creates adequate space; and they are together considered necessary in influencing the positive development of the electronic communication sector. Proper selection of the "innovative dilemma" that comes from the "technology push" in the sector and harmonization of the time required between the necessary innovation and investment, determines the quality of products/services for the sector tomorrow and its internal markets. At the same time, it determines the eligibility of the request-offer and their quality. The close connection between innovation and entrepreneurship as well as the proper implementation through investments is made tangible and measurable to the quality, price, and their persistence. When these factors are considered in harmony, it will ultimately result in effective competition in the sector. Also, their values are identified by the maximization of social welfare to increased consumer benefits

Bivariant KKKK-Theory and the Baum-Connes conjecure

This is a survey on Kasparov's bivariant $KK$-theory in connection with the Baum-Connes conjecture on the $K$-theory of crossed products $A\rtimes_rG$ by actions of a locally compact group $G$ on a C*-algebra $A$. In particular we shall discuss Kasparov's Dirac dual-Dirac method as well as the permanence properties of the conjecture and the "Going-Down principle" for the left hand side of the conjecture, which often allows to reduce $K$-theory computations for $A\rtimes_rG$ to computations for crossed products by compact subgroups of $G$. We give several applications for this principle including a discussion of a method developed by Cuntz, Li and the author for explicit computations of the $K$-theory groups of crossed products for certain group actions on totally disconnected spaces. This provides an important tool for the computation of $K$-theory groups of semi-group C*-algebras.Comment: Some minor correction

Equivariant Kasparov theory and generalized homomorphisms

Let G be a locally compact group. We describe elements of KK^G (A,B) by equivariant homomorphisms, following Cuntz's treatment in the non-equivariant case. This yields another proof for the universal property of KK^G: It is the universal split exact stable homotopy functor. To describe a Kasparov triple (E, phi, F) by an equivariant homomorphism, we have to arrange for the Fredholm operator F to be equivariant. This can be done if A is of the form K(L^2G) otimes A' and more generally if the group action on A is proper in the sense of Rieffel and Exel.Comment: 22 pages, final version, will appear in K-Theory added references and a few additional explanations to the tex