کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6426121 1345426 2011 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A horizontal categorification of Gel'fand duality
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
A horizontal categorification of Gel'fand duality
چکیده انگلیسی

In the setting of C⁎-categories, we provide a definition of spectrum of a commutative full C⁎-category as a one-dimensional unital Fell bundle over a suitable groupoid (equivalence relation) and prove a categorical Gel'fand duality theorem generalizing the usual Gel'fand duality between the categories of commutative unital C⁎-algebras and compact Hausdorff spaces. Although many of the individual ingredients that appear along the way are well known, the somehow unconventional way we “glue” them together seems to shed some new light on the subject.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 226, Issue 1, 15 January 2011, Pages 584-607
نویسندگان
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