Tag: noncommutative-geometry

52 Non-commutative algebraic geometry 2009-12-05T22:53:28.513

50 What is the significance of non-commutative geometry in mathematics? 2012-02-11T07:58:49.377

43 What is a foliation and why should I care? 2016-02-07T00:44:18.987

40 Is there a quaternionic algebraic geometry ? 2011-01-13T14:46:50.447

38 Theories of Noncommutative Geometry 2010-01-02T19:48:23.940

37 Why should algebraic objects have naturally associated topological spaces? (Formerly: What is a topological space?) 2010-02-08T11:42:00.283

36 The 'real' use of Quantum Algebra, Non-commutative Geometry, Representation Theory, and Algebraic Geometry to Physics 2010-02-08T19:43:03.990

35 How to unify various reconstruction theorems (Gabriel-Rosenberg, Tannaka,Balmers) 2010-02-24T12:18:05.960

34 Various flavours of infinitesimals 2011-07-05T20:12:44.387

30 Applications of Noncommutative Geometry 2010-02-07T17:32:18.410

29 Why Drinfel'd-Jimbo-type Quantum Groups? 2009-11-14T17:46:57.640

29 How to define a differential form on a fractal? 2010-06-13T14:08:58.093

29 Why all irreducible representations of compact groups are finite-dimensional ? [EDIT: Subtleties: AC,etc] 2013-01-20T15:22:50.390

28 What is about nonassociative geometry? 2013-06-08T13:17:54.840

22 Reference request for translating from Top to C*-alg 2011-12-07T13:46:41.203

21 What's a noncommutative set? 2013-07-23T17:19:12.340

21 Topological loops vs. algebro-geometric suspension in Hochschild homology 2015-10-23T19:12:36.143

20 Bimodules in geometry 2009-10-22T19:54:13.663

20 Geometric interpretation of group rings? 2010-06-07T18:29:39.533

19 Noncommutative smooth manifolds 2010-03-02T06:10:47.503

19 Grothendieck and Non-commutative Geometry? 2010-11-30T18:05:41.377

19 What is quantum Brownian motion? 2013-02-21T05:13:15.803

17 What is the precise relationship between groupoid language and noncommutative algebra language? 2010-07-09T21:07:20.433

17 Penrose tilings and noncommutative geometry 2010-10-18T04:49:42.800

17 Reference: Learning noncommutative geometry and C^* algebras 2011-02-03T11:27:41.673

16 Is the group von Neumann algebra construction functorial? 2010-02-11T14:00:12.647

16 Convolution algebras for double groupoids? 2012-01-25T11:12:40.690

15 What is a noncommutative fiber bundle? 2010-04-02T18:04:48.777

15 Realisation of the noncommutative torus as a universal $ C^{*} $-algebra 2014-02-12T01:24:45.067

15 Lifting DG-categories to characteristic zero 2015-02-11T03:01:06.807

14 Examples of noncommutative analogs outside operator algebras? 2009-11-30T07:46:14.187

14 Is there Grothendieck Riemann Roch for abelian category? 2010-01-14T10:24:33.393

14 What properties "should" spectrum of noncommutative ring have? 2010-02-15T11:46:55.467

14 Can we define spectral triples using the language of rigged Hilbert spaces? 2010-11-21T22:08:00.750

14 Why is "naive" definition of non-commutative spectrum bad? 2014-03-05T22:33:00.767

13 Non-commutative geometry from von Neumann algebras? 2009-10-28T21:48:34.830

13 Recovering a monoidal category from its category of monoids 2009-10-29T19:34:30.273

13 What are the motivations for studying Cherednik (symplectic reflection, graded Hecke) algebras? 2010-04-29T09:36:41.967

13 If the direct image of f preserves coherent sheaves on noetherian schemes, how to show f is proper? 2014-09-14T20:26:23.087

13 Is there something like "Noncommutative geometry internal to a category"? 2015-04-29T14:30:40.063

12 Relationship between "different" quantum deformations 2011-02-16T17:43:20.750

12 Mysterious quotes (at least for me) 2014-11-05T23:37:11.463

12 Atiyah-Singer index theorem, pairing between K-homology and K-theory and Chern character 2016-03-08T12:19:52.527

12 New homotopy groups 2016-09-07T13:26:12.067

11 Relevance of the complex structure of a function algebra for capturing the topology on a space. 2010-05-25T14:07:30.427

11 Generators of the Odd Dimensional Quantum Spheres 2011-01-31T23:30:51.247

11 Quantization and noncommutative deformations 2011-07-28T12:43:29.813

11 Construct discrete series of SL(2,R) as kernel of twisted Dirac operators 2016-01-24T16:01:38.270

10 What is $\overline{\text{Spec}\mathbb{Z}}$? 2009-11-19T07:50:56.590

10 construct scheme from quivers? 2010-05-14T20:45:17.863

10 Geometric interpretation of Universal enveloping algebras 2010-10-05T13:00:56.120

10 "The" kronecker foliation or "a" kronecker foliation? 2014-08-08T05:25:51.177

10 Commutative spectral triples not coming from manifolds 2014-12-29T19:25:19.223

10 Relationship between Hochschild cohomology and Drinfeld centers 2015-01-12T16:30:15.313

10 NCG with all noncommutativity in a nilpotent ideal 2015-04-01T04:51:35.237

10 Analytical formula for topological degree 2015-07-23T20:33:43.640

10 What is Koszul dual of a curve? 2016-01-23T16:46:43.840

10 Baum Connes conjecture and Atiyah-Singer index theorem 2016-08-13T16:57:24.977

10 Baum Connes conjecture and abstract isomorphism 2017-10-08T23:52:23.877

10 A quantity associated with a smooth groupoid 2017-10-28T20:51:35.140

9 is localization of category of categories equivalent to |Cat| 2009-12-29T08:34:54.773

9 Kontsevich, and Geometric, Quantization and the Podles sphere 2010-01-03T13:01:38.463

9 Existence of non-commutative desingularizations 2010-02-06T02:34:11.240

9 Is a groupoid determined by its Hopfish algebra? 2010-07-13T18:27:21.533

9 Is the nc torus a quantum group? 2011-10-01T08:00:50.190

9 Does the algebra of bounded variation functions have a "noncommutative geometric" meaning and generalization? 2012-08-30T13:09:13.403

9 Point modules of quantum projective space $\mathbb{P}^n$ 2012-10-11T01:42:57.340

9 The "right" $C^*$ algebraic proof of Bott Periodicity 2013-05-24T19:32:46.103

9 Compute the index of the Dirac operator on $C_0(R^2)$ to obtain Bott element in $K_0$ 2015-11-25T14:17:55.893

9 Is a "smooth" finite-dimensional algebra separable modulo its radical? 2016-08-03T19:59:53.390

9 Geometric or conceptual way to understand supersymmetry algebra 2017-08-01T08:07:43.687

9 Equivalence of rational Voevodsky motives: partial Converse to Conjecture of Orlov 2017-09-25T23:46:14.260

8 Maximal localizations of von Neumann algebras 2009-10-22T20:30:14.980

8 Hopf algebras arising as Group Algebras 2009-12-15T22:06:31.317

8 Gelfand duality in NCG 2010-01-02T10:08:56.490

8 Definition of a von Neumann algebra 2010-02-05T07:06:47.973

8 Why is it called *spectral* triple? 2010-03-31T09:04:14.070

8 Gluing perverse sheaves? 2010-06-02T20:36:43.827

8 2 questions on the groupoid algebra 2011-05-22T16:41:17.210

8 Are the Drinfeld compact quantum groups simply connected ? 2012-01-01T19:22:01.060

8 Why is the Tangent Groupoid useful in non-commutative geometry? 2012-07-08T23:51:16.850

8 Global dimensions of non-commutative rings 2012-08-01T02:33:00.667

8 Eigenvalues of the free sphere 2013-01-06T14:29:18.267

8 Noncommutative geometry and line length 2014-09-29T12:05:25.303

8 Formula for the distance in noncommutative geometry 2015-03-15T14:29:51.930

8 Existence/characterization/properties of $C^*$-algebras which "are" quantization of compact symplectic manifolds? 2016-02-09T19:59:13.963

8 Further directions of index theory 2016-03-28T18:25:27.837

8 K theory for pre $C^*$-algebras 2016-04-27T23:11:28.710

8 Isomorphism in cyclic cohomology vs isomorphism in Hochschild cohomology 2016-07-01T13:02:39.550

8 Spectral triples which are not $\theta$-summable 2016-07-14T23:55:48.340

7 Is there a good differential calculus for quantum SU(3)? 2009-12-15T01:32:03.120

7 Functorial point of view of spectrum (Looking for reference) 2010-03-02T06:03:59.817

7 Inner product on Hochschild homology in 2d TCFTs 2010-09-13T02:07:35.547

7 Canonical Time Evolution for Type $II_{1}$-Factors? 2011-03-08T16:52:37.987

7 Derived (non-commutative) geometry, geometric constructions in explicit form 2013-03-01T17:12:55.803

7 Non-commutative Formal Group Laws 2013-04-29T12:58:52.073

7 C* Algebras, Foliations and Dynamical Systems 2013-05-29T22:22:00.430

7 Do we have a "topological assembly map" in the Baum-Connes conjecture? 2013-06-08T04:17:53.597

7 Morita equivalence for operator algebras and tensor products, question about proof 2014-02-13T19:11:39.280