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Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rieffel
The Guest Editors for this special issue are
George Elliott (University of Toronto, Canada)
Piotr M. Hajac (Institute of Mathematics of Polish Academy of Sciences, Poland)
Hanfeng Li (University at Buffalo, USA)
Jonathan Rosenberg (University of Maryland, USA)
This special issue is a tribute to Marc A. Rieffel, marking (approximately)
his 75th birthday. It is the outgrowth of a Focus Program on Noncommutative
Geometry and Quantum Groups that took place at the
Fields Institute for Research in Mathematical Sciences in Toronto, Canada,
in June, 2013. Marc Rieffel has been one of the most influential
researchers in the world in the areas of noncommutative geometry
and quantum groups. He has had over 30 PhD students and
over 80 “mathematical descendants”. Among his major contributions
were the introduction of Morita equivalence as a fundamental
notion in noncommutative geometry and the classification of C*-algebras,
the introduction of stable rank as a basic invariant of C*-algebras, the
introduction
of strict deformation quantization to construct new examples of
quantum groups, and the analysis of the metric structure of
noncommutative geometries. The papers in this special
issue reflect the wide range of his contributions to mathematics
as well as the great esteem in which he is held by the
world mathematical community.
The Guest Editors
Papers in this Issue:
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Generalized Coefficients for Hopf Cyclic Cohomology
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Mohammad Hassanzadeh, Dan Kucerovsky and Bahram Rangipour
SIGMA 10 (2014), 093, 16 pages [ abs
pdf ]
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Piecewise Principal Coactions of Co-Commutative Hopf Algebras
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Bartosz Zieliński
SIGMA 10 (2014), 088, 20 pages [ abs
pdf ]
-
Locally Compact Quantum Groups. A von Neumann Algebra Approach
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Alfons Van Daele
SIGMA 10 (2014), 082, 41 pages [ abs
pdf ]
-
Quantitative K-Theory Related to Spin Chern Numbers
-
Terry A. Loring
SIGMA 10 (2014), 077, 25 pages [ abs
pdf ]
-
Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
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Debashish Goswami and Soumalya Joardar
SIGMA 10 (2014), 076, 18 pages [ abs
pdf ]
-
Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology
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Yuri I. Manin and Matilde Marcolli
SIGMA 10 (2014), 073, 20 pages [ abs
pdf ]
-
Groupoid Actions on Fractafolds
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Marius Ionescu and Alex Kumjian
SIGMA 10 (2014), 068, 14 pages [ abs
pdf ]
-
Non-Commutative Resistance Networks
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Marc A. Rieffel
SIGMA 10 (2014), 064, 46 pages [ abs
pdf ]
-
Local Proof of Algebraic Characterization of Free Actions
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Paul F. Baum and Piotr M. Hajac
SIGMA 10 (2014), 060, 7 pages [ abs
pdf ]
-
Induced Representations and Hypergroupoids
-
Jean Renault
SIGMA 10 (2014), 057, 18 pages [ abs
pdf ]
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Ordered *-Semigroups and a C*-Correspondence for a Partial Isometry
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Berndt Brenken
SIGMA 10 (2014), 055, 50 pages [ abs
pdf ]
-
The Classification of All Crossed Products H4#k[Cn]
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Ana-Loredana Agore, Costel-Gabriel Bontea and Gigel Militaru
SIGMA 10 (2014), 049, 12 pages [ abs
pdf ]
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Nontrivial Deformation of a Trivial Bundle
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Piotr M. Hajac and Bartosz Zieliński
SIGMA 10 (2014), 031, 7 pages [ abs
pdf ]
-
On Projections in the Noncommutative 2-Torus Algebra
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Michał Eckstein
SIGMA 10 (2014), 029, 14 pages [ abs
pdf ]
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The Structure of Line Bundles over Quantum Teardrops
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Albert Jeu-Liang Sheu
SIGMA 10 (2014), 027, 11 pages [ abs
pdf ]
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On the Smoothness of the Noncommutative Pillow and Quantum Teardrops
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Tomasz Brzeziński
SIGMA 10 (2014), 015, 8 pages [ abs
pdf ]
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Exploring the Causal Structures of Almost Commutative Geometries
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Nicolas Franco and Michał Eckstein
SIGMA 10 (2014), 010, 23 pages [ abs
pdf ]
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The Heisenberg Relation - Mathematical Formulations
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Richard V. Kadison and Zhe Liu
SIGMA 10 (2014), 009, 40 pages [ abs
pdf ]
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Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure
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Kenny De Commer
SIGMA 9 (2013), 081, 20 pages [ abs
pdf ]
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Levi-Civita's Theorem for Noncommutative Tori
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Jonathan Rosenberg
SIGMA 9 (2013), 071, 9 pages [ abs
pdf ]
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