22 citations · 74 across the 40 of their papers we have counts for
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math.OA2007
Stable rank for inclusions of C*-algebras
Hiroyuki Osaka
When a unital \ca has topological stable rank one (write $\tsr(A) = 1$), we know that $\tsr(pAp) \leq 1$ for a non-zero projection . When, however, $\tsr(A) \geq 2$, i…
math.OA2007★ 4 cited
Cancellation for inclusions of C*-algebras of finite depth
Ja A Jeong, Hiroyuki Osaka, N. Christopher Phillips +1
Let B be a unital C*-algebra, let A be a unital subalgebra, and let E be a conditional expectation from B to A with index-finite type and a quasi-basis of n elements. Then the topo…
math.OA2007★ 1 cited
Crossed products by finite group actions with the Rokhlin property
Hiroyuki Osaka, N. Christopher Phillips
We prove that a number of classes of separable unital C*-algebras are closed under crossed products by finite group actions with the Rokhlin property, including: (1) AI algebras, A…