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Bass and Topological Stable Ranks of Complex and Real Algebras of Measures, Functions and Sequences

✍ Scribed by Kalle Mikkola; Amol Sasane


Book ID
107508712
Publisher
SP Birkhäuser Verlag Basel
Year
2009
Tongue
English
Weight
574 KB
Volume
4
Category
Article
ISSN
1661-8254

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📜 SIMILAR VOLUMES


On the stable rank and reducibility in a
✍ R. Rupp; A. Sasane 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 172 KB

## Abstract Let __A__~ℝ~(𝔻) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that __A__~ℝ~(𝔻) has Bass and topological stable ranks equal to 2, which settles the conjecture made by Brett Wick in [18]. We also give a necessary and sufficient conditi

The Stable Rank of Topological Algebras
✍ C. Badea 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 492 KB

Various notions of stable ranks are studied for topological algebras. Some partial answers to R. G. Swan's problem (Have two Banach or good Fre chet algebras as in the density theorem in K-theory the same stable rank?) are obtained. For example, a Fre chet dense V -subalgebra A of a C\*-algebra B, c