\(K\)-Groups of a\(C^{*}\)-Algebra Generated by a Single Operator
✍ Scribed by Cho, Ilwoo
- Book ID
- 120950714
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2013
- Tongue
- English
- Weight
- 472 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1661-8254
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📜 SIMILAR VOLUMES
Let \(G\) be a locally compact group and \(\mathrm{VN}(G)\) be the von Neumann algebra generated by the left regular representation of \(G\). Let \(\operatorname{UCB}(\hat{G})\) denote the \(C^{*}\)-subalgebra generated by operators in \(\mathrm{VN}(G)\) with compact support. When \(G\) is abelian.
Let M(clR") be a smooth compact manifold. Recall (see, for instance, [3, 61) that a bounded linear operator S in L,(M) is called an abstract singular operator if the following conditions (axioms) hold: 1. the operator S2 -I is compact (and the operators S f Z are noncompact); 2. the operator S\* -S