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arxiv: 1710.10009 · v4 · pith:OQ6W344Dnew · submitted 2017-10-27 · 🧮 math.OA

Homotopical Stable Ranks for Certain C*-algebras

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keywords algebrasrankscertaincommutativestableapplyconnectedcw-complexes
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We study the general and connected stable ranks for C*-algebras. We estimate these ranks for pullbacks of C*-algebras, and for tensor products by commutative C*-algebras. Finally, we apply these results to determine these ranks for certain commutative C*-algebras, and non-commutative CW-complexes.

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