N ov 2 00 5 On amorphic C - algebras

N ov 2 00 5 Dynamical entropy of generalized quantum Markov chains on gauge invariant C ∗ - algebras

We prove that the mean entropy and the dynamical entropy are equal for generalized quantum Markov chains on gauge-invariant C∗-algebras.

ar X iv : m at h / 06 11 77 4 v 1 [ m at h . FA ] 2 5 N ov 2 00 6 MODULE EXTENSIONS OF DUAL BANACH ALGEBRAS

In this paper we define the module extension dual Banach algebras and we use this Banach algebras to finding the relationship between weak−continuous homomorphisms of dual Banach algebras and Connes-amenability. So we study the weak∗−continuous derivations on module extension dual Banach algebras.

2 5 N ov 2 00 8 MODULE CATEGORIES OVER POINTED HOPF ALGEBRAS

We develop some techniques to the study of exact module categories over some families of pointed finite-dimensional Hopf algebras. As an application we classify exact module categories over the tensor category of representations of the small quantum groups uq(sl2).

6 On amorphic C - algebras

An amorphic association scheme has the property that any of its fusion is also an association scheme. In this paper we generalize the property to be amorphic to an arbitrary C-algebra and prove that any amorphic C-algebra is determined up to isomorphism by the multiset of its degrees and an additional integer equal ±1. Moreover, we show that any amorphic C-algebra with rational structure consta...

N ov 2 00 1 Cohomology of Restricted Lie Algebras