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# Classfication of non-commutative topological space which are not locally compact

2018-05-10 14:35

Classfication of non-commutative topological space which are not locally compact

2018-05-10 16:00-17:00

#### 演讲内容介绍

We will present a classification theorem for amenable simple stably projectionless C* - algebras with generalized tracial rank one. With many decades’ work, unital separable simple amenable Z-stable C*-algebras in the UCT class have been classified by the Elliott invariant. Non-unital case can be easily reduced to the unital case if the stablized C* - algebras have a non-zero projection. However, there are many non-unital separable simple amenable C* - algebras which are stably projectionless. In other words, $K_\theta (A)^+ = \{0\}$.