The Ext--Group of Unitary Equivalence Classes of Unital Extensions

Details The Ext--Group of Unitary Equivalence Classes of Unital Extensions The Ext--Group of Unitary Equivalence Classes of Unital Extensions

2010-08-07

arxiv.org/abs/1008.1295v1

Mathematics

Operator Algebras

16 pages Acta Math. Sinica (English series)(to appear)

Scientific paper

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 $\tau\colon\A\rightarrow Q(\B)$. The relation between $\Ext_u(\A,\B)$ and $\Ext(\A,\B)$ is established. Using this relation, we show the half--exactness of $\Ext_u(\cdot,\B)$ and the (UCT) for $\Ext_u(\A,\B)$. Furthermore, under certain conditions, we obtain the half--exactness and Bott periodicity of $\Ext_u(\A,\cdot)$.

Affiliated with

Also associated with

No associations

Rating

The Ext--Group of Unitary Equivalence Classes of Unital Extensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Ext--Group of Unitary Equivalence Classes of Unital Extensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Ext--Group of Unitary Equivalence Classes of Unital Extensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593438