RELATIONS BETWEEN TWISTED DERIVATIONS AND TWISTED CYCLIC HOMOLOGY

被引:1
|
作者
Shapiro, Jack M. [1 ]
机构
[1] Washington Univ, Dept Math, St Louis, MO 63130 USA
关键词
D O I
10.1090/S0002-9939-2011-11285-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a given endomorphism on a unitary k-algebra, A, with k in the center of A, there are definitions of twisted cyclic and Hochschild homology. This paper will show that the method used to define them can be used to define twisted de Rham homology. The main result is that twisted de Rham homology can be thought of as the kernel of the Connes map from twisted cyclic homology to twisted Hochschild homology.
引用
收藏
页码:2647 / 2651
页数:5
相关论文
共 50 条
  • [21] Hochschild homology of twisted crossed products and twisted graded Hecke algebras
    Solleveld, Maarten
    ANNALS OF K-THEORY, 2023, 8 (01) : 81 - 126
  • [22] A TWISTED HOMOLOGY FIBRATION CRITERION AND THE TWISTED GROUP-COMPLETION THEOREM
    Miller, Jeremy
    Palmer, Martin
    QUARTERLY JOURNAL OF MATHEMATICS, 2015, 66 (01): : 265 - 284
  • [23] Twisted cyclic groups
    Flowers, Neil
    Wakefield, Thomas
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2019, 141 : 143 - 154
  • [24] Twisted Poincare duality between Poisson homology and Poisson cohomology
    Luo, J.
    Wang, S. -Q.
    Wu, Q. -S.
    JOURNAL OF ALGEBRA, 2015, 442 : 484 - 505
  • [25] Homotopy groups and twisted homology of arrangements
    Randell, Richard
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2009, 9 (03): : 1299 - 1308
  • [26] Twisted homology of quantum SL(2)
    Hadfield, T
    Krähmer, U
    K-THEORY, 2005, 34 (04): : 327 - 360
  • [27] Two Applications of Twisted Floer Homology
    Ai, Yinghua
    Ni, Yi
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2009, 2009 (19) : 3726 - 3746
  • [28] Twisted Hochschild homology of quantum hyperplanes
    Sitarz, A
    K-THEORY, 2005, 35 (1-2): : 187 - 198
  • [29] The twisted Floer homology of torus bundles
    Ai, Yinghua
    Peters, Thomas D.
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2010, 10 (02): : 679 - 695
  • [30] Hochschild homology of twisted tensor products
    Guccione, JA
    Guccione, JJ
    K-THEORY, 1999, 18 (04): : 363 - 400