منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولProjections in Free Product C {algebras
Consider the reduced free product of C {algebras, (A; ') = (A 1 ; ' 1) (A 2 ; ' 2), with respect to states ' 1 and ' 2 that are faithful. If ' 1 and ' 2 are traces, if the so{called Avitzour conditions are satissed, (i.e. A 1 and A 2 are not \too small" in a speciic sense) and if A 1 and A 2 are nuclear, then it is shown that the positive cone, K 0 (A) + , of the K 0 {group of A consists of tho...
متن کاملProjections in free product C*-algebras, II
Let (A; ') be the reduced free product of innnitely many C {algebras (A ; ') with respect to faithful states. Assume that the A are not too small, in a speciic sense. If ' is a trace then the positive cone of K 0 (A) is determined entirely by K 0 ('). If, furthermore, the image of K 0 (') is dense in R, then A has real rank zero. On the other hand, if ' is not a trace then A is simple and purel...
متن کاملThe Stable Rank of Some Free Product C -Algebras
It is proved that the reduced group C∗-algebra C∗ red(G) has stable rank one (i.e. its group of invertible elements is a dense subset) if G is a discrete group arising as a free product G1 ∗G2 where |G1| ≥ 2 and |G2| ≥ 3. This follows from a more general result where it is proved that if (A, τ) is the reduced free product of a family (Ai, τi), i ∈ I, of unital C∗-algebras Ai with normalized fai...
متن کاملdetermination of maximal singularity free zones in the workspace of parallel manipulator
due to the limiting workspace of parallel manipulator and regarding to finding the trajectory planning of singularity free at workspace is difficult, so finding a best solution that can develop a technique to determine the singularity-free zones in the workspace of parallel manipulators is highly important. in this thesis a simple and new technique are presented to determine the maximal singula...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1968
ISSN: 0019-2082
DOI: 10.1215/ijm/1256054221