Softcover ISBN:  9780821852033 
Product Code:  CMIP/11 
List Price:  $153.00 
MAA Member Price:  $137.70 
AMS Member Price:  $122.40 
Softcover ISBN:  9780821852033 
Product Code:  CMIP/11 
List Price:  $153.00 
MAA Member Price:  $137.70 
AMS Member Price:  $122.40 

Book DetailsClay Mathematics ProceedingsVolume: 11; 2010; 675 ppMSC: Primary 58
The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics.
Specific themes covered by the articles are as follows:
 entropy in operator algebras, regular \(C^*\)algebras of integral domains, properly infinite \(C^*\)algebras, representations of free groups and 1cohomology, Leibniz seminorms and quantum metric spaces;
 von Neumann algebras, fundamental Group of \(\mathrm{II}_1\) factors, subfactors and planar algebras;
 BaumConnes conjecture and property T, equivariant Khomology, Hermitian Ktheory;
 cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem;
 noncommutative geometry and spacetime, spectral action principle, quantum gravity, noncommutative ADHM and instantons, noncompact spectral triples of finite volume, noncommutative coordinate algebras;
 Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities;
 cyclotomy and analytic geometry over \(F_1\), quantum modular forms;
 differential Ktheory, cyclic theory and Scohomology.
Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).
ReadershipGraduate students and research mathematicians interested in recent developments in various areas of mathematics.

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The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics.
Specific themes covered by the articles are as follows:
 entropy in operator algebras, regular \(C^*\)algebras of integral domains, properly infinite \(C^*\)algebras, representations of free groups and 1cohomology, Leibniz seminorms and quantum metric spaces;
 von Neumann algebras, fundamental Group of \(\mathrm{II}_1\) factors, subfactors and planar algebras;
 BaumConnes conjecture and property T, equivariant Khomology, Hermitian Ktheory;
 cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem;
 noncommutative geometry and spacetime, spectral action principle, quantum gravity, noncommutative ADHM and instantons, noncompact spectral triples of finite volume, noncommutative coordinate algebras;
 Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities;
 cyclotomy and analytic geometry over \(F_1\), quantum modular forms;
 differential Ktheory, cyclic theory and Scohomology.
Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).
Graduate students and research mathematicians interested in recent developments in various areas of mathematics.