A Dirac Type Operator on the Non-Commutative Disk

被引:5
|
作者
Carey, Alan L. [1 ]
Klimek, Slawomir [2 ]
Wojciechowski, Krzysztof P. [2 ]
机构
[1] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia
[2] Indiana Univ Purdue Univ, Dept Math, Indianapolis, IN 46202 USA
关键词
quantum spaces; noncommutative geometry; Dirac operators; APS boundary conditions; RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY;
D O I
10.1007/s11005-010-0391-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study an example of the index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on the noncommutative unit disk.
引用
收藏
页码:107 / 125
页数:19
相关论文
共 50 条
  • [41] Operations on certain non-commutative operator-valued random variables
    Voiculescu, D
    ASTERISQUE, 1995, (232) : 243 - &
  • [42] Quasi hyperrigidity and weak peak points for non-commutative operator systems
    Namboodiri, M. N. N.
    Pramod, S.
    Shankar, P.
    Vijayarajan, A. K.
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2018, 128 (05):
  • [43] Operator-valued chordal Loewner chains and non-commutative probability
    Jekel, David
    JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (10)
  • [44] Non-commutative fluids
    Polychronakos, Alexios P.
    QUANTUM SPACES: POINCARE SEMINAR 2007, 2007, 53 : 109 - 159
  • [45] On Non-commutative Spreadability
    Griseta, Maria Elena
    OPERATOR AND MATRIX THEORY, FUNCTION SPACES, AND APPLICATIONS, IWOTA 2022, 2024, 295 : 189 - 202
  • [46] Non-commutative amoebas
    Mikhalkin, Grigory
    Shkolnikov, Mikhail
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 54 (02) : 335 - 368
  • [47] Non-commutative worlds
    Kauffman, LH
    NEW JOURNAL OF PHYSICS, 2004, 6 : 1 - 47
  • [48] A non-commutative Nullstellensatz
    Bao, Zhengheng
    Reichstein, Zinovy
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (04)
  • [49] Non-commutative solitons
    Gopakumar, R
    Minwalla, S
    Strominger, A
    JOURNAL OF HIGH ENERGY PHYSICS, 2000, (05):
  • [50] On non-commutative correction of the Godel-type metric
    Ulhoa, S. C.
    Santos, A. F.
    Amorim, R. G. G.
    GENERAL RELATIVITY AND GRAVITATION, 2015, 47 (09)