Some Noncommutative Spheres

2008 ◽  
pp. 57-66 ◽  
Author(s):  
T. Natsume
Keyword(s):  
Noncommutative Spheres

scholarly journals Uniqueness results for noncommutative spheres and projective spaces

2015 ◽  
Vol 59 (1) ◽  
pp. 219-233 ◽  
Author(s):  
Teodor Banica ◽  
Szabolcs Mészáros
Keyword(s):  
Projective Spaces ◽  
Uniqueness Results ◽  
Noncommutative Spheres

scholarly journals Principal Fibrations from Noncommutative Spheres

2005 ◽  
Vol 260 (1) ◽  
pp. 203-225 ◽  
Author(s):  
Giovanni Landi ◽  
Walter van Suijlekom
Keyword(s):  
Noncommutative Spheres

scholarly journals Curvature and geometric modules of noncommutative spheres and tori

2014 ◽  
Vol 55 (4) ◽  
pp. 041705 ◽  
Author(s):  
Joakim Arnlind
Keyword(s):  
Noncommutative Spheres

scholarly journals Quantum isometries, noncommutative spheres and related integrals

2017 ◽  
Vol 111 ◽  
pp. 101-144 ◽  
Author(s):  
Teodor Banica
Keyword(s):  
Noncommutative Spheres

scholarly journals Principal fibrations over noncommutative spheres

2018 ◽  
Vol 30 (10) ◽  
pp. 1850020
Author(s):  
Michel Dubois-Violette ◽  
Xiao Han ◽  
Giovanni Landi
Keyword(s):  
Chern Character ◽  
Volume Form ◽  
Principal Bundles ◽  
Noncommutative Spheres

We present examples of noncommutative four-spheres that are base spaces of SU(2)-principal bundles with noncommutative seven-spheres as total spaces. The noncommutative coordinate algebras of the four-spheres are generated by the entries of a projection which is invariant under the action of SU(2). We give conditions for the components of the Connes–Chern character of the projection to vanish but the second (the top) one. The latter is then a non-zero Hochschild cycle that plays the role of the volume form for the noncommutative four-spheres.

scholarly journals Quantum Isometries and Noncommutative Spheres

2010 ◽  
Vol 298 (2) ◽  
pp. 343-356 ◽  
Author(s):  
Teodor Banica ◽  
Debashish Goswami
Keyword(s):  
Noncommutative Spheres

scholarly journals Dynamical Noncommutative Spheres

2003 ◽  
Vol 241 (1) ◽  
pp. 161-175 ◽  
Author(s):  
Andrzej Sitarz
Keyword(s):  
Noncommutative Spheres

scholarly journals Noncommutative spheres and the AdS/CFT correspondence

2000 ◽  
Vol 2000 (10) ◽  
pp. 008-008 ◽  
Author(s):  
Antal Jevicki ◽  
Mihail Mihailescu ◽  
Sanjaye Ramgoolam
Keyword(s):  
Noncommutative Spheres
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