منابع مشابه
On the Functor ℓ2
We study the functor `2 from the category of partial injections to the category of Hilbert spaces. The former category is finitely accessible, and both categories are enriched over algebraic domains. The functor preserves daggers, monoidal structures, enrichment, and various (co)limits, but has no adjoints. Up to unitaries, its direct image consists precisely of the partial isometries, but its ...
متن کاملOn the quadratic Fock functor
We prove that the quadratic second quantization of an operator p on L2(Rd)∩L∞(Rd) is an orthogonal projection on the quadratic Fock space if and only if p = MχI , where MχI is a multiplication operator by a characteristic function χI .
متن کاملOn the quantum Kazhdan-Lusztig functor
One of the most exciting developments in representation theory in the recent years was the discovery of the Kazhdan-Lusztig functor [KL93a, KL93b, KL94a, KL94b], which is a tensor functor from the fusion category of representations of an affine Lie algebra to the category of representations of the corresponding quantum group, and is often an equivalence of categories. Informally speaking, this ...
متن کاملOn a Cuntz-Krieger functor
Let M be a torus bundle, i.e. an (n + 1)-dimensional manifold, which fibers over the circle with the fiber an n-dimensional torus. A covariant functor from M to the Cuntz-Krieger algebra (a C∗-algebra) is constructed. The functor maps homeomorphic torus bundles to the stably isomorphic Cuntz-Krieger algebras. It is shown that in general the K-theory of the Cuntz-Krieger algebra counts the torsi...
متن کاملTHE FUNCTOR A ON p-LOCAL SPACES
In a previous paper, the authors gave the finest functorial decomposition of the loop suspension of a p-torsion suspension. The purpose of this paper is to generalize this theorem to arbitrary p-local path connected spaces.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1971
ISSN: 0021-8693
DOI: 10.1016/0021-8693(71)90030-5