
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:

Generalized Coefficients for Hopf Cyclic Cohomology

Mohammad Hassanzadeh, Dan Kucerovsky and Bahram Rangipour
SIGMA 10 (2014), 093, 16 pages [ abs
pdf ]

Piecewise Principal Coactions of CoCommutative Hopf Algebras

Bartosz Zieliński
SIGMA 10 (2014), 088, 20 pages [ abs
pdf ]

Locally Compact Quantum Groups. A von Neumann Algebra Approach

Alfons Van Daele
SIGMA 10 (2014), 082, 41 pages [ abs
pdf ]

Quantitative KTheory 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 2Cocycles

Debashish Goswami and Soumalya Joardar
SIGMA 10 (2014), 076, 18 pages [ abs
pdf ]

Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology

Yuri I. Manin and Matilde Marcolli
SIGMA 10 (2014), 073, 20 pages [ abs
pdf ]

Groupoid Actions on Fractafolds

Marius Ionescu and Alex Kumjian
SIGMA 10 (2014), 068, 14 pages [ abs
pdf ]

NonCommutative Resistance Networks

Marc A. Rieffel
SIGMA 10 (2014), 064, 46 pages [ abs
pdf ]

Local Proof of Algebraic Characterization of Free Actions

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 ]

Ordered *Semigroups and a C^{*}Correspondence for a Partial Isometry

Berndt Brenken
SIGMA 10 (2014), 055, 50 pages [ abs
pdf ]

The Classification of All Crossed Products H_{4}#k[C_{n}]

AnaLoredana Agore, CostelGabriel Bontea and Gigel Militaru
SIGMA 10 (2014), 049, 12 pages [ abs
pdf ]

Nontrivial Deformation of a Trivial Bundle

Piotr M. Hajac and Bartosz Zieliński
SIGMA 10 (2014), 031, 7 pages [ abs
pdf ]

On Projections in the Noncommutative 2Torus Algebra

Michał Eckstein
SIGMA 10 (2014), 029, 14 pages [ abs
pdf ]

The Structure of Line Bundles over Quantum Teardrops

Albert JeuLiang Sheu
SIGMA 10 (2014), 027, 11 pages [ abs
pdf ]

On the Smoothness of the Noncommutative Pillow and Quantum Teardrops

Tomasz Brzeziński
SIGMA 10 (2014), 015, 8 pages [ abs
pdf ]

Exploring the Causal Structures of Almost Commutative Geometries

Nicolas Franco and Michał Eckstein
SIGMA 10 (2014), 010, 23 pages [ abs
pdf ]

The Heisenberg Relation  Mathematical Formulations

Richard V. Kadison and Zhe Liu
SIGMA 10 (2014), 009, 40 pages [ abs
pdf ]

Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure

Kenny De Commer
SIGMA 9 (2013), 081, 20 pages [ abs
pdf ]

LeviCivita's Theorem for Noncommutative Tori

Jonathan Rosenberg
SIGMA 9 (2013), 071, 9 pages [ abs
pdf ]

