On the vanishing of Hochschild cohomology $H\{1}(\lambda,\lambda \otimes \lambda)$ for a local algebra $\lambda$
نویسندگان
چکیده
منابع مشابه
On Local Properties of Hochschild Cohomology of a C- Algebra
Let A be a C∗-algebra, and let X be a Banach A-bimodule. B. E. Johnson showed that local derivations from A into X are derivations. We extend this concept of locality to the higher cohomology of a C ∗-algebra and show that, for every n ∈ N, bounded local n-cocycles from A into X are n-cocycles. The study of the local properties of Hochschild cohomology of a Banach algebra was initiated by intro...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1992
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496161969