Saturated Actions on C-algebra Suspensions and Joins by Finite Cyclic Groups
نویسنده
چکیده
We present a proof for certain cases of extended Borsuk-Ulam conjectures by Baum, D ‘ abrowski, and Hajac. When a unital C-algebra A admits a free action of Z/kZ, k ≥ 2, we show that there is no equivariant map from A to the C-algebraic join of A and the compact “quantum” group C(Z/kZ). This also resolves D ‘ abrowski’s conjecture on unreduced suspensions of C-algebras and has implications in the topological setting. Finally, we formulate a different type of noncommutative join than the previous authors, which leads to additional open problems for finite cyclic group actions.
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تاریخ انتشار 2016