Groups 上的 Fell 包的张量积
funct-an
2024-12-12 v3 算子代数
摘要
我们将 C*-代数的张量积理论推广到局部紧致群上的 Fell 包的更大范畴中。我们证明了类似于 C*-代数情况，存在最大张量积和最小张量积。给定两个 Fell 包，我们比较其交叉截面代数的张量积与其张量积后交叉截面代数。作为应用，我们在若干条件下证明：若其在群单位元处的纤维为核或准射，那么其交叉截面 C*-代数也为核或准射。
引用
@article{arxiv.funct-an/9712006,
title = {Tensor Products of Fell Bundles over Groups},
author = {Fernando Abadie},
journal= {arXiv preprint arXiv:funct-an/9712006},
year = {2024}
}
备注
AMS-Latex, 41 pages. Replaces the old preprint Tensor Products of Fell Bundles over Discrete Groups (http://xxx.if.usp.br/abs/funct-an/9712006). In the current work Fell bundles over arbitrary locally compact groups are treated