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A Noncommutative Borsuk-Ulam theorem for free actions of compact groups with torsion

Mariusz Tobolski
IMPAN/Warsaw University
Friday, February 3, 2017 - 16:00 to Wednesday, March 29, 2017 - 19:15

Abstract:In recent years, a collection of results that generalize the celebrated Borsuk-Ulam theorem to the C*-algebraic setting have appeared. Motivated by the conjecture of Baum, Dąbrowski and Hajac, Ben Passer proved that for a compact Hausdorff group G with torsion there is no equivariant map from a unital C*-algebra A to its equivariant join with the unital C*-algebra C(G) of complex valued continuous functions on G. First part of the talk will be devoted to the classical Borsuk-Ulam theorem and its reformulation in terms of joins that can be generalized to noncommutative geometry. In the second part, I will present the mentioned result of Passer and discuss its proof.

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