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Continuous Bounded Cohomology of Locally Compact Groups

2003-07-01 Mathematics
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Release : 2003-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 620/5 ( reviews)

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Book Synopsis Continuous Bounded Cohomology of Locally Compact Groups by : Nicolas Monod

Download or read book Continuous Bounded Cohomology of Locally Compact Groups written by Nicolas Monod. This book was released on 2003-07-01. Available in PDF, EPUB and Kindle. Book excerpt: Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. As applications, one obtains, in particular, rigidity results for actions on the circle, for representations on complex hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.

Continuous Bounded Cohomology of Locally Compact Groups

2000
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Release : 2000
Genre :
Kind : eBook
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Book Synopsis Continuous Bounded Cohomology of Locally Compact Groups by : Nicolas Ducimetière (Mathematiker)

Download or read book Continuous Bounded Cohomology of Locally Compact Groups written by Nicolas Ducimetière (Mathematiker). This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

Continuous Bounded Cohomology of Locally Compact Groups

2000
Download Continuous Bounded Cohomology of Locally Compact Groups PDF Online Free

Author :
Release : 2000
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Continuous Bounded Cohomology of Locally Compact Groups by : Nicolas Ducimetière

Download or read book Continuous Bounded Cohomology of Locally Compact Groups written by Nicolas Ducimetière. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

Remarks on Pseudocharacters and the Real Continuous Bounded Cohomology of Connected Locally Compact Groups

1997
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Release : 1997
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Book Synopsis Remarks on Pseudocharacters and the Real Continuous Bounded Cohomology of Connected Locally Compact Groups by : Aleksandr I. Štern

Download or read book Remarks on Pseudocharacters and the Real Continuous Bounded Cohomology of Connected Locally Compact Groups written by Aleksandr I. Štern. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt:

Bounded Cohomology and Simplicial Volume

2022-11-17 Mathematics
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Release : 2022-11-17
Genre : Mathematics
Kind : eBook
Book Rating : 71X/5 ( reviews)

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Book Synopsis Bounded Cohomology and Simplicial Volume by : Caterina Campagnolo

Download or read book Bounded Cohomology and Simplicial Volume written by Caterina Campagnolo. This book was released on 2022-11-17. Available in PDF, EPUB and Kindle. Book excerpt: Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field.

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