Groupoids, Inverse Semigroups, and their Operator Algebras

af

indgår i serie Progress in Mathematics


Groupoids, Inverse Semigroups, and their Operator Algebras
  • Leveringstid 2-4 uger
  • Forventet levering 14-01-2020
  • Kan ikke leveres før jul
Format:
Bog, hardback
Udgivelsesdato:
01-10-1998
Sprog:
Engelsk
Udgave:
1999 ed..
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In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.

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Udgivelsesdato:
01-10-1998
ISBN13:
9780817640514
Vægt:
1310 g
Dybde:
17 mm
Bredde:
155 mm
Højde:
235 mm
Nummer i serien:
170
Nummer i serien:
170
Format:
Hardback
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  • Bibliotekernes beskrivelse

    The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. 1 Hardback XVI, 274 p.

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