The real Brauer group of a finite CW-complex
نویسندگان
چکیده
منابع مشابه
Complex Group Algebras of Finite Groups : Brauer ’ S Problem 1
Brauer’s Problem 1 asks the following: what are the possible complex group algebras of finite groups? It seems that with the present knowledge of representation theory it is not possible to settle this question. The goal of this paper is to announce a partial solution to this problem. We conjecture that if the complex group algebra of a finite group does not have more than a fixed number m of i...
متن کاملSmooth Extensions for a Finite Cw Complex
The C* -algebra extensions of a topological space can be made into an abelian group which is naturally equivalent to the Khomology group of odd dimension [1] which has a close relation with index theory and is one of the starting points of KK theory [8]. The Cp -smoothness of an extension of a manifold was introduced in [3, 4], where Cp denotes the Schatten-von Neumann p-class [5]. We generaliz...
متن کاملThe Equivariant Brauer Group of a Group
We consider the Brauer group BM(k, G) of a group G (finite or infinite) over a commutative ring k with identity. A split exact sequence 1 −→ Br′(k) −→ BM′(k, G) −→ Gal(k, G) −→ 1 is obtained. This generalizes the Fröhlich-Wall exact sequence ([7, 8])from the case of a field to the case of a commutative ring, and generalizes the PiccoPlatzeck exact sequence ([13]) from the finite case of G to th...
متن کاملOn the Brauer Group of Real Algebraic Surfaces
Let X be a real projective algebraic manifold, s numerates connected components of X(R) and 2Br(X) the subgroup of elements of order 2 of cohomological Brauer group Br(X). We study the natural homomorphism ξ :2 Br(X) → (Z/2)s and prove that ξ is epimorphic if H(X(C)/G;Z/2) → H(X(R);Z/2) is injective. Here G = Gal(C/R). For an algebraic surface X with H(X(C)/G;Z/2) = 0 and X(R) 6= ∅, we give a f...
متن کاملGerbes and the Holomorphic Brauer Group of Complex Tori
The purpose of this paper is to develop the theory of holomorphic gerbes on complex tori in a manner analogous to the classical theory for line bundles. In contrast to past studies on this subject, we do not restrict to the case where these gerbes are torsion, or even topologicaly trivial. We give an Appell-Humbert type description of all holomorphic gerbes on complex tori. This gives an explic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1979
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1979-0529234-1