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Cohomology for Operator Algebras: The Mayer–Vietoris Sequence

✍ Scribed by Frank L. Gilfeather; Florin Pop; Roger R. Smith

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
420 KB
Volume
148
Category
Article
ISSN
0022-1236

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✦ Synopsis

For an inclusion B A of operator algebras we introduce the B-nil cohomology groups H n (A | B), which can be easier to compute than the standard cohomology groups H n (A). We then develop two long exact sequences, the first linking H n (A | B), H n (A) and H n (B), the second corresponding to the Mayer Vietoris sequence of algebraic topology. These sequences provide powerful computational tools, as illustrated by the examples in the last two sections of the paper.

📜 SIMILAR VOLUMES

On the Minimality of Anick's Resolution,
On the Minimality of Anick's Resolution, with Application to an Algebra of Cohomology Operations
✍ William M. Singer 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 167 KB

INTRODUCTION AND STATEMENTS OF RESULTS ## w x Let G be an augmented algebra over a field k. In his paper 1 , Anick supposes given a set S of generators for G, together with a grading e: S ª Z q and a total orderfor S, such that S is well ordered in each 0 Ä 4 degree. We will refer to the triple S