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A Categorical Approach to Imprimitivity Theorems for $C^*$-Dynamical Systems
Language: en
Pages: 186
Authors: Siegfried Echterhoff
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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It has become apparent that studying the representation theory and structure of crossed-product C*-algebras requires imprimitivity theorems. This monograph show
Hardy Spaces and Potential Theory on $C^1$ Domains in Riemannian Manifolds
Language: en
Pages: 92
Authors: Martin Dindoš
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The author studies Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, ar
Crossed Products of $C^*$-Algebras
Language: en
Pages: 546
Authors: Dana P. Williams
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutati
On Maps from Loop Suspensions to Loop Spaces and the Shuffle Relations on the Cohen Groups
Language: en
Pages: 78
Authors: Jie Wu
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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The maps from loop suspensions to loop spaces are investigated using group representations in this article. The shuffle relations on the Cohen groups are given.
Equivalences of Classifying Spaces Completed at the Prime Two
Language: en
Pages: 116
Authors: Robert Oliver
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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We prove here the Martino-Priddy conjecture at the prime $2$: the $2$-completions of the classifying spaces of two finite groups $G$ and $G'$ are homotopy equiv