کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4591647 1335043 2008 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Relatively spectral morphisms and applications to K-theory
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Relatively spectral morphisms and applications to K-theory
چکیده انگلیسی

Spectral morphisms between Banach algebras are useful for comparing their K-theory and their “noncommutative dimensions” as expressed by various notions of stable ranks. In practice, one often encounters situations where the spectral information is only known over a dense subalgebra. We investigate such relatively spectral morphisms. We prove a relative version of the Density Theorem regarding isomorphism in K-theory. We also solve Swan's problem for the connected stable rank, in fact for an entire hierarchy of higher connected stable ranks that we introduce.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 255, Issue 12, 15 December 2008, Pages 3303-3328