Cohomology for Operator Algebras: The Mayer–Vietoris Sequence

Autor:	Roger R. Smith, Florin Pop, Frank L. Gilfeather
Rok vydání:	1997
Předmět:	Discrete mathematics Pure mathematics Mayer–Vietoris sequence Group cohomology De Rham cohomology Equivariant cohomology Algebraic topology Excision theorem Cohomology Analysis Motivic cohomology Mathematics
Zdroj:	Journal of Functional Analysis. 148(1):1-27
ISSN:	0022-1236
DOI:	10.1006/jfan.1996.3068
Popis:	For an inclusion B ⊆ A of operator algebras we introduce the B -nil cohomology groupsHn( A ∣ B ), which can be easier to compute than the standard cohomology groupsHn( A ). We then develop two long exact sequences, the first linkingHn( A ∣ B ),Hn( A ) andHn( 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.
Databáze:	OpenAIRE
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