Cohomology Theory

2015 ◽  
pp. 27-38
Author(s):  
V. Lakshmibai ◽  
Justin Brown
Keyword(s):  
Cohomology Theory

Stable decompositions of classifying spaces of finite abelianp-groups

1988 ◽  
Vol 103 (3) ◽  
pp. 427-449 ◽  
Author(s):  
John C. Harris ◽  
Nicholas J. Kuhn
Keyword(s):  
Finite Group ◽  
Cohomology Theory ◽  
Classifying Spaces ◽  
Classifying Space ◽  
Image Position ◽  
A Finite Group

LetBGbe the classifying space of a finite groupG. Consider the problem of finding astabledecompositionintoindecomposablewedge summands. Such a decomposition naturally splitsE*(BG), whereE* is any cohomology theory.

Cohomology Theory in Abstract Groups. III

1949 ◽  
Vol 50 (3) ◽  
pp. 736 ◽  
Author(s):  
Saunders MacLane
Keyword(s):  
Cohomology Theory

General Cohomology Theory and Duality

1966 ◽  
pp. 284-361
Author(s):  
Edwin H. Spanier
Keyword(s):  
Cohomology Theory ◽  
General Cohomology

scholarly journals A new description of equivariant cohomology for totally disconnected groups

2008 ◽  
Vol 1 (3) ◽  
pp. 431-472 ◽  
Author(s):  
Christian Voigt
Keyword(s):  
Equivariant Cohomology ◽  
Simplicial Complexes ◽  
Cyclic Homology ◽  
Cohomology Theory ◽  
Cohomology Groups ◽  
Natural Class ◽  
New Approach ◽  
Totally Disconnected

AbstractWe consider smooth actions of totally disconnected groups on simplicial complexes and compare different equivariant cohomology groups associated to such actions. Our main result is that the bivariant equivariant cohomology theory introduced by Baum and Schneider can be described using equivariant periodic cyclic homology. This provides a new approach to the construction of Baum and Schneider as well as a computation of equivariant periodic cyclic homology for a natural class of examples. In addition we discuss the relation between cosheaf homology and equivariant Bredon homology. Since the theory of Baum and Schneider generalizes cosheaf homology we finally see that all these approaches to equivariant cohomology for totally disconnected groups are closely related.

On the Cohomology Theory for Associative Algebras

1946 ◽  
Vol 47 (3) ◽  
pp. 568 ◽  
Author(s):  
G. Hochschild
Keyword(s):  
Cohomology Theory ◽  
Associative Algebras
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