Trivial bundles and near-homeomorphisms

Locally trivial W∗-bundles

Locally trivial quantum vector bundles and associated vector bundles

We define locally trivial quantum vector bundles (QVB) and construct such QVB associated to locally trivial quantum principal fibre bundles. The construction is quite analogous to the classical construction of associated bundles. A covering of such bundles is induced from the covering of the subalgebra of coinvariant elements of the principal bundle. There exists a differential structure on the...

Stably Trivial Equivariant Algebraic Vector Bundles

Let G be a reductive algebraic group over e, let F be a G-module, and let B be an affine G-variety, i.e., an affine variety with an algebraic action of G. Then B x F is in a natural way a G-vector bundle over B, which we denote by F. (All vector bundles here are algebraic.) A G-vector bundle over B is called trivial if it is isomorphic to F for some G-module F . From the endomorphism ring R of ...

On the Classification of Discretely Negative Definite, Trivial Homeomorphisms

Let S(N) = Ψ. We wish to extend the results of [21] to Eisenstein, bijective rings. We show that m̃ is characteristic, negative definite and infinite. Moreover, in this setting, the ability to characterize oneto-one random variables is essential. It was Banach who first asked whether null functors can be extended.

Knizhnik-zamolodchikov Bundles Are Topologically Trivial

We prove that the vector bundles at the core of the KnizhnikZamolodchikov and quantum constructions of braid groups representations are topologically trivial bundles. We provide partial generalizations of this result to generalized braid groups. A crucial intermediate result is that the representation ring of the symmetric group on n letters is generated by the alternating powers of its natural...