Equivariant $K$-theory, wreath products, and Heisenberg algebra
نویسندگان
چکیده
منابع مشابه
A ] 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...
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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 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...
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For an algebra B with an action of a Hopf algebra H we establish the pairing between equivariant cyclic cohomology and equivariant K-theory for B. We then extend this formalism to compact quantum group actions and show that equivariant cyclic cohomology is a target space for the equivariant Chern character of equivariant summable Fredholm modules. We prove an analogue of Julg’s theorem relating...
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Topological K-theory [2] has many variants which have been developed and exploited for geometric purposes. There are real or quaternionic versions, “Real” K-theory in the sense of [1], equivariant K-theory [14] and combinations of all these. In recent years K-theory has found unexpected application in the physics of string theories [6, 12, 13, 16] and all variants of K-theory that had previousl...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2000
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-00-10311-0