标题： 谱理论对于非满共轭C*-范畴 显示英文标题

标题： Spectral Theory for Non-full Commutative C*-categories

摘要： 我们将交换C*-范畴的谱理论扩展到非满的情况，引入一个适合的谱空间oid概念，提供了一个"非平凡"*-函子的非满交换C*-范畴与一个"非满空间oid"的Takahashi同态范畴之间的对偶性（此处定义）。作为副产品，我们通过对应C*-代数的Gel'fand谱的开子集之间的同胚图上的Hilbert C*-线丛的在无穷远处消失的连续截面，得到了一个非满的不可约Hilbert C*-双模的推广的谱定理。 显示英文摘要

摘要： We extend the spectral theory of commutative C*-categories to the non full-case, introducing a suitable notion of spectral spaceoid provinding a duality between a category of "non-trivial" *-functors of non-full commutative C*-categories and a category of Takahashi morphisms of "non-full spaceoids" (here defined). As a byproduct we obtain a spectral theorem for a non-full generalization of imprimitivity Hilbert C*-bimodules over commutative unital C*-algebras via continuous sections vanishing at infinity of a Hilbert C*-line-bundle over the graph of a homeomorphism between open subsets of the corresponding Gel'fand spectra of the C*-algebras.