The spectrum of equivariant Kasparov theory for cyclic groups of prime order

被引:2
作者
Dell'Ambrogio, Ivo [1 ]
Meyer, Ralf [2 ]
机构
[1] Univ Lille, Lab Paul Painleve, Villeneuve Dascq, France
[2] Univ Gottingen, Math Inst, Gottingen, Germany
关键词
equivariant Kasparov theory; triangulated categories; spectrum; TENSOR-TRIANGULAR GEOMETRY; KK-THEORY; EXTENSIONS;
D O I
10.2140/akt.2021.6.543
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We compute the Balmer spectrum of the equivariant bootstrap category of separable G-C*-algebras when G is a group of prime order.
引用
收藏
页码:543 / 558
页数:16
相关论文
共 19 条
  • [1] [Anonymous], 2001, ANN MATH STUD
  • [2] Balmer P, 2005, J REINE ANGEW MATH, V588, P149
  • [3] Balmer P, 2019, HDB HOMOTOPY THEORY, P145
  • [4] Balmer P., 2020, Mackey 2-functors and Mackey 2 -motives
  • [5] Balmer P, 2010, PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, P85
  • [6] The spectrum of the equivariant stable homotopy category of a finite group
    Balmer, Paul
    Sanders, Beren
    [J]. INVENTIONES MATHEMATICAE, 2017, 208 (01) : 283 - 326
  • [7] Balmer P, 2016, ANN SCI ECOLE NORM S, V49, P907
  • [8] Restriction to finite-index subgroups as etale extensions in topology, KK-theory and geometry
    Balmer, Paul
    Dell'Ambrogio, Ivo
    Sanders, Beren
    [J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2015, 15 (05): : 3025 - 3047
  • [9] Spectra, spectra, spectra - Tensor triangular spectra versus Zariski spectra of endomorphism rings
    Balmer, Paul
    [J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2010, 10 (03): : 1521 - 1563
  • [10] Bueno AG, 2008, PUBL MATH-DEBRECEN, V72, P269