Se p 20 04 Z 2 - graded Čech Cohomology in Noncommutative Geometry ∗ Do Ngoc Diep
ثبت نشده
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
Z2-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 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 کاملSe p 20 04 Lectures on Arithmetic Noncommutative Geometry
And indeed there will be time To wonder " Do I dare? " and, " Do I dare? " Time to turn back and descend the stair. ...
متن کاملGraded Greenlees-may Duality and the Čech Hull
The duality theorem of Greenlees and May relating local cohomology with support on an ideal I and the left derived functors of I-adic completion [GM92] holds for rather general ideals in commutative rings. Here, simple formulas are provided for both local cohomology and derived functors of Z-graded completion, when I is a monomial ideal in the Z-graded polynomial ring k[x1, . . . , xn]. Greenle...
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 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