Z2-graded Čech Cohomology in Noncommutative Geometry ∗ Do Ngoc Diep
نویسنده
چکیده
The Z 2-gradedČech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncom-mutative theory and the classical Z 2-gradedČech cohomology theory.
منابع مشابه
Se p 20 04 Z 2 - graded Čech Cohomology in Noncommutative Geometry ∗ Do Ngoc Diep
The Z 2-gradedČech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncom-mutative theory and the classical Z 2-gradedČech cohomology theory.
متن کاملThe Fuzzy Supersphere
We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative Z2-graded algebras tending in a suitable limit to a dense subalgebra of the Z2-graded algebra of H∞-functions on the (2|2)-dimensional supersphere. Noncommutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the superde...
متن کاملA Survey of Noncommutative Geometry Methods for Group Algebras
In this survey we shall report about a K-theoretic approach to study group algebras. Following the example of the group of affine transformations of the straight line, the method consists of: 1. Construction of irreducible group representations (orbit method, category O ), 2. Decomposition of the group algebra into a sequence of repeated extensions, and finally 3. Computation of the extension i...
متن کاملA Survey of Noncommutative Chern Characters
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 clear relation of these noncommutative objects and their commutative counterparts. This survey can be considered as the second part of the previous survey [D1].
متن کاملCategory of Noncommutative CW complexes. III
We prove in this paper a noncommutative version of Leray Theorem and then Leray-Serre Spectral Theorem for noncommutative Serre fibrations: for NC Serre fibration there are converging spectral sequences with E terms as Ep,q = HPp(A; HPq(B,A)) =⇒ HPp+q(B) and Ep,q = HPp(A; Kq(B,A)) =⇒ Kp+q(B).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008