Data on mathematics described by researchers at University of Oregon.

Journal of Mathematics | November 3, 2009 | Copyright

"Let A be a unital separable C*-algebra and B = C circle times K, where C is a unital C*-algebra. Let tau : A → M(B)/B be a unital full essential extension of A by B. We show that there is a bijection between elements in a quotient group of K-0(B) onto the strong unitary equivalence classes of unital full essential extensions sigma for which [sigma] = [tau] in KK1(A, B)," investigators in the United States report.

"Consequently, when this group is zero, unitarily equivalent full essential extensions are strongly unitarily equivalent. When B is a non-unital but ...

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