Equivariant K -Theory, Generalized Symmetric Products, and Twisted Heisenberg Algebra
نویسندگان
چکیده
منابع مشابه
Equivariant K-theory, generalized symmetric products, and twisted Heisenberg algebra
For a space X acted by a finite group Γ, the product space X affords a natural action of the wreath product Γn = Γ n ⋊ Sn. The direct sum of equivariant K-groups ⊕ n≥0 KΓn(X )⊗C were shown earlier by the author to carry several interesting algebraic structures. In this paper we study the Kgroups K H̃Γn (X) of Γn-equivariant Clifford supermodules on X . We show that F Γ (X) = ⊕ n≥0 H̃Γn (X)⊗ C is ...
متن کاملA ] 7 D ec 1 99 9 Equivariant K - theory , wreath products , and Heisenberg algebra
Given a finite group G and a G-space X, we show that a direct sum FG(X) = ⊕ n≥0KGn(X n) ⊗ C admits a natural graded Hopf algebra and λ-ring structure, where Gn denotes the wreath product G ∼ Sn. FG(X) is shown to be isomorphic to a certain supersymmetric product in terms of KG(X) ⊗ C as a graded algebra. We further prove that FG(X) is isomorphic to the Fock space of an infinite dimensional Heis...
متن کاملm at h . Q A ] 2 3 Ju l 1 99 9 Equivariant K - theory , wreath products , and Heisenberg algebra
Given a finite group G and a G-space X, we show that a direct sum FG(X) = ⊕ n≥0KGn(X n) ⊗ C admits a natural graded Hopf algebra and λ-ring structure, where Gn denotes the wreath product G ∼ Sn. FG(X) is shown to be isomorphic to a certain supersymmetric product in terms of KG(X) ⊗ C as a graded algebra. We further prove that FG(X) is isomorphic to the Fock space of an infinite dimensional Heis...
متن کاملK-twisted Equivariant K-theory for Su(n)
We present a version of twisted equivariant K-theory-K-twisted equivariant K-theory, and use Grothendieck differentials to compute the K -twisted equivariant K-theory of simple simply connected Lie groups. We did the calculation explicitly for SU(N) explicitly. The basic idea is to interpret an equivariant gerbe as an element of equivariant K-theory of degree 1.
متن کاملTwisted Equivariant K-theory, Groupoids and Proper Actions
In this paper we define twisted equivariantK-theory for actions of Lie groupoids. For a Bredon-compatible Lie groupoid G, this defines a periodic cohomology theory on the category of finite G-CW-complexes with G-stable projective bundles. A classification of these bundles is shown. We also obtain a completion theorem and apply these results to proper actions of groups.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2003
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-002-0753-9