Obstructions to 𝒵-Stability for Unital Simple C*-Algebras

Canadian Mathematical Bulletin - Tập 43 Số 4 - Trang 418-426 - 2000
Guihua Gong1, Xinhui Jiang2, Hongbing Su2
1Mathematics Department, University of Puerto Rico, P.O. Box 23355, San Juan, Puerto Rico 00931
2The Fields Institute, 222 College Street, Toronto, Ontario M5T 3J1

Tóm tắt

AbstractLet 𝒵 be the unital simple nuclear infinite dimensional C*-algebra which has the same Elliott invariant as ℂ, introduced in [9]. A C*-algebra is called 𝒵-stable if A ≅ A ⊗ 𝒵. In this note we give some necessary conditions for a unital simple C*-algebra to be 𝒵-stable.

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10.1007/978-1-4613-9572-0