منابع مشابه
On equivariant embedding of Hilbert C∗ modules
We prove that an arbitrary (not necessarily countably generated) Hilbert G −A module on a G − C∗ algebra A admits an equivariant embedding into a trivial G−A module, provided G is a compact Lie group and its action on A is ergodic.
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Let S be the affine plane C together with an appropriate T = C∗ action. Let S be the incidence Hilbert scheme. Parallel to [LQ], we construct an infinite dimensional Lie algebra that acts on the direct sum
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C*-algebra endomorphisms arising from superselection structures with non-trivial centre define a ’rank’ and a ’first Chern class’. Crossed products by such endomorphisms involve the Cuntz-Pimsner algebra of a vector bundle having the above-mentioned rank and first Chern class, and can be used to construct a duality for abstract (nonsymmetric) tensor categories vs. group bundles acting on (nonsy...
متن کاملIncidence relations among the Schubert cells of equivariant Hilbert schemes
Let Hab(H) be the equivariant Hilbert scheme parametrizing the zero dimensional subschemes of the affine plane k, fixed under the one dimensional torus Tab = {(t , t), t ∈ k} and whose Hilbert function is H . This Hilbert scheme admits a natural stratification in Schubert cells which extends the notion of Schubert cells on Grassmannians. However, the incidence relations between the cells become...
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Let Hab be the equivariant Hilbert scheme parametrizing the 0-dimensional subschemes of the affine plane invariant under the natural action of the one-dimensional torus Tab := {(t, t) t ∈ k}. We compute the irreducible components of Hab: they are in one-one correspondence with a set of Hilbert functions. As a by-product of the proof, we give new proofs of results by Ellingsrud and Strømme, name...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2009
ISSN: 1937-0652
DOI: 10.2140/ant.2009.3.423