کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590002 1334926 2015 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Saturation and elementary equivalence of C*-algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Saturation and elementary equivalence of C*-algebras
چکیده انگلیسی

We study the saturation properties of several classes of C*-algebras. Saturation has been shown by Farah and Hart to unify the proofs of several properties of coronas of σ-unital C*-algebras; we extend their results by showing that some coronas of non-σ  -unital C*-algebras are countably degree-1 saturated. We then relate saturation of the abelian C*-algebra C(X)C(X), where X is 0-dimensional, to topological properties of X  , particularly the saturation of CL(X)CL(X). We also characterize elementary equivalence of the algebras C(X)C(X) in terms of CL(X)CL(X) when X   is 0-dimensional, and show that elementary equivalence of the generalized Calkin algebras of densities ℵαℵα and ℵβℵβ implies elementary equivalence of the ordinals α and β.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 269, Issue 8, 15 October 2015, Pages 2631–2664
نویسندگان
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