کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667969 1345489 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Geometric representation theory for unitary groups of operator algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Geometric representation theory for unitary groups of operator algebras
چکیده انگلیسی

Geometric realizations for the restrictions of GNS representations to unitary groups of C∗-algebras are constructed. These geometric realizations use an appropriate concept of reproducing kernels on vector bundles. To build such realizations in spaces of holomorphic sections, a class of complex coadjoint orbits of the corresponding real Banach–Lie groups is described and some homogeneous holomorphic Hermitian vector bundles that are naturally associated with the coadjoint orbits are constructed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 208, Issue 1, 15 January 2007, Pages 299-317