12 papers
Noncommutative Spherical Tight Frames in finitely generated Hilbert C*-modules
Do Ngoc Diep
In the paper we describe the C*-algebras of noncommutative spherical tight frames over some C*-algebras and then apply to study the noncommutative version of the universal classify…
-graded Cech Cohomology in Noncommutative Geometry
Do Ngoc Diep
The Z_2-graded Cech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invar…
Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry
Do Ngoc Diep
In this lecture we review apprearance of the Riemann-Roch Theorem in classical function theory, Algebraic topology, in theory of pseudo-differential operators and finally in noncom…
K-Theory and peiodic cyclic homology of some noncompact quantum algebras
Do Ngoc Diep, Aderemi O. Kuku
We prove in this paper that the periodic cyclic homology of the quantized algebras of functions on coadjoint orbits of connected and simply connected Lie group, are isomorphic to t…
Quantized Algebras of Functions on Affine Hecke Algebras
Do Ngoc Diep
The so called quantized algebras of functions on affine Hecke algebras of type A and the corresponding q-Schur algebras are defined and their irreducible unitarizable representatio…
A Survey of Noncommutative Chern Characters
Do Ngoc Diep
We report in this survey some new results concerning noncommutative Chern characters: construction and the cases when they are exactly computed. The major result indicates some cle…