The Ext-group of unitary equivalence classes of unital extensions |
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Authors: | Yi Feng Xue |
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Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China |
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Abstract: | Let A be a unital separable nuclear C*-algebra which belongs to the bootstrap category N and B be a separable stable C*-algebra. In this paper, we consider the group Ext
u
(A, B) consisting of the unitary equivalence classes of unital extensions τ: A→Q(B). The relation between Ext
u
(A, B) and Ext(A, B) is established. Using this relation, we show the half-exactness of Ext
u
(·, B) and the (UCT) for Ext
u
(A, B). Furthermore, under certain conditions, we obtain the half-exactness and Bott periodicity of Ext
u
(A, ·). |
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Keywords: | Unital extension multiplier algebra Ext-group quasi-unital -homomorphism |
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