Supergravity and Cohomology Theory: Progress and Problems in D = 5

Unification of the Fundamental Particle Interactions ◽

10.1007/978-1-4613-3171-1_12 ◽

1980 ◽

pp. 171-185 ◽

Cited By ~ 1

Author(s):

R. D’Auria ◽

P. Fré ◽

T. Regge

Keyword(s):

Cohomology Theory

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General Cohomology Theory and K-Theory

10.1017/cbo9780511662577 ◽

1971 ◽

Cited By ~ 15

Author(s):

P. J. Hilton

Keyword(s):

Cohomology Theory ◽

K Theory ◽

General Cohomology

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Extensions and low dimensional cohomology theory of locally compact groups. I, II

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1964-0171880-5 ◽

1964 ◽

Vol 113 (1) ◽

pp. 40-40 ◽

Cited By ~ 1

Author(s):

Calvin C. Moore

Keyword(s):

Cohomology Theory ◽

Locally Compact Groups ◽

Compact Groups ◽

Locally Compact ◽

Low Dimensional

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Stable decompositions of classifying spaces of finite abelianp-groups

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100065038 ◽

1988 ◽

Vol 103 (3) ◽

pp. 427-449 ◽

Cited By ~ 34

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.

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Cohomology Theory in Abstract Groups. III

Annals of Mathematics ◽

10.2307/1969561 ◽

1949 ◽

Vol 50 (3) ◽

pp. 736 ◽

Cited By ~ 45

Author(s):

Saunders MacLane

Keyword(s):

Cohomology Theory

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General Cohomology Theory and Duality

Algebraic Topology ◽

10.1007/978-1-4684-9322-1_7 ◽

1966 ◽

pp. 284-361

Author(s):

Edwin H. Spanier

Keyword(s):

Cohomology Theory ◽

General Cohomology

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A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory*

Indiana University Mathematics Journal ◽

10.1512/iumj.1958.7.57019 ◽

1958 ◽

Vol 7 (2) ◽

pp. 237-264 ◽

Cited By ~ 7

Author(s):

Bertram Kostant

Keyword(s):

Cohomology Theory

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A new description of equivariant cohomology for totally disconnected groups

Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology ◽

10.1017/is007011019jkt020 ◽

2008 ◽

Vol 1 (3) ◽

pp. 431-472 ◽

Cited By ~ 1

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.

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