scholarly journals Cohomology C∞-algebra and rational homotopy type

2009 ◽  
Author(s):  
Tornike Kadeishvili
Keyword(s):  
Homotopy Type ◽  
Rational Homotopy ◽  
C Algebra ◽  
Rational Homotopy Type

scholarly journals CONTINUOUS TRACE C*-ALGEBRAS, GAUGE GROUPS AND RATIONALIZATION

2009 ◽  
Vol 01 (03) ◽  
pp. 261-288 ◽  
Author(s):  
JOHN R. KLEIN ◽  
CLAUDE L. SCHOCHET ◽  
SAMUEL B. SMITH
Keyword(s):  
Gauge Group ◽  
Metric Space ◽  
Principal Bundle ◽  
Rational Homotopy ◽  
Compact Metric Space ◽  
Gauge Groups ◽  
C Algebra ◽  
C Algebras ◽  
Rational Cohomology ◽  
Rational Homotopy Type

Let ζ be an n-dimensional complex matrix bundle over a compact metric space X and let Aζdenote the C*-algebra of sections of this bundle. We determine the rational homotopy type as an H-space of UAζ, the group of unitaries of Aζ. The answer turns out to be independent of the bundle ζ and depends only upon n and the rational cohomology of X. We prove analogous results for the gauge group and the projective gauge group of a principal bundle over a compact metric space X.

scholarly journals Classification of rational homotopy type for 10-cohomological dimension elliptic spaces

Mathematica ◽  
2020 ◽  
Vol 62 (85) (1) ◽  
pp. 16-32
Author(s):  
Saloua Chouingou ◽  
◽  
Mohamed Rachid Hilali ◽  
Keyword(s):  
Homotopy Type ◽  
Cohomological Dimension ◽  
Rational Homotopy ◽  
Rational Homotopy Type ◽  
Elliptic Spaces

On 𝑃𝐿 de Rham theory and rational homotopy type

1976 ◽  
Vol 8 (179) ◽  
pp. 0-0 ◽  
Author(s):  
A. K. Bousfield ◽  
V. K. A. M. Gugenheim
Keyword(s):  
Homotopy Type ◽  
Rational Homotopy ◽  
De Rham Theory ◽  
Rational Homotopy Type ◽  
De Rham

ON THE RATIONAL HOMOTOPY TYPE WHEN THE COHOMOLOGICAL DIMENSION IS 9

2015 ◽  
Vol 17 (2) ◽  
pp. 157-172
Author(s):  
Mohamed Rachid Hilali ◽  
My Ismail Mamouni ◽  
Jawad Tarik
Keyword(s):  
Homotopy Type ◽  
Cohomological Dimension ◽  
Rational Homotopy ◽  
Rational Homotopy Type
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