Classification of simple $C^*$-algebras of tracial topological rank zero

Details Classification of simple $C^*$-algebras of tracial topological rank zero Classification of simple $C^*$-algebras of tracial topological rank zero

2000-11-13

arxiv.org/abs/math/0011079v1

Mathematics

Operator Algebras

Scientific paper

We give a classification theorem for unital separable simple nuclear
$C^*$-algebras with tracial topological rank zero which satisfy the Universal
Coefficient Theorem. We prove that if $A$ and $B$ are two such $C^*$-algebras
and $$ (K_0(A), K_0(A)_+, [1_A], K_1(A)) $$ $$ \cong (K_0(B), K_0(B)_+, [1_B],
K_1(B)), $$ then $A\cong B.$

Affiliated with

Also associated with

No associations

Rating

Classification of simple $C^*$-algebras of tracial topological rank zero 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 Classification of simple $C^*$-algebras of tracial topological rank zero, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of simple $C^*$-algebras of tracial topological rank zero will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-381033