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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

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
Journal: Journal of Functional Analysis - Volume 269, Issue 8, 15 October 2015, Pages 2631–2664
نویسندگان
Christopher J. Eagle, Alessandro Vignati,