ON THE UNITARY K-THEORY OF COMPACT LIE GROUPS WITH FINITE FUNDAMENTAL GROUP

1973 ◽  
Vol 24 (1) ◽  
pp. 343-356 ◽  
Author(s):  
R. P. HELD ◽  
U. SUTER
Keyword(s):  
Fundamental Group ◽  
Lie Groups ◽  
Compact Lie Groups ◽  
Finite Fundamental Group ◽  
K Theory

scholarly journals Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class

2014 ◽  
Vol 14 (2) ◽  
pp. 247-272 ◽  
Author(s):  
Antti J. Harju ◽  
Jouko Mickelsson
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lie Groups ◽  
Explicit Construction ◽  
Theory Model ◽  
Quantum Field ◽  
Compact Lie Groups ◽  
Field Theory Model ◽  
Cup Product ◽  
K Theory

AbstractTwisted K-theory on a manifold X, with twisting in the 3rd integral cohomology, is discussed in the case when X is a product of a circle and a manifold M. The twist is assumed to be decomposable as a cup product of the basic integral one form on and an integral class in H2(M,ℤ). This case was studied some time ago by V. Mathai, R. Melrose, and I.M. Singer. Our aim is to give an explicit construction for the twisted K-theory classes using a quantum field theory model, in the same spirit as the supersymmetric Wess-Zumino-Witten model is used for constructing (equivariant) twisted K-theory classes on compact Lie groups.

scholarly journals On the K-theory of compact lie groups

Topology ◽  
1965 ◽  
Vol 4 (1) ◽  
pp. 95-99 ◽  
Author(s):  
M.F. Atiyah
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups ◽  
K Theory

scholarly journals A Fourier–Mukai approach to the K-theory of compact Lie groups

2015 ◽  
Vol 269 ◽  
pp. 335-345 ◽  
Author(s):  
David Baraglia ◽  
Pedram Hekmati
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups ◽  
K Theory

scholarly journals Equivariant K-theory of compact Lie groups with involution

2014 ◽  
Vol 13 (2) ◽  
pp. 313-335
Author(s):  
Po Hu ◽  
Igor Kriz ◽  
Petr Somberg
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Compact Lie Groups ◽  
K Theory ◽  
Simply Connected

AbstractFor a compact simply connected simple Lie group G with an involution α, we compute the G ⋊ ℤ/2-equivariant K-theory of G where G acts by conjugation and ℤ/2 acts either by α or by g ↦ α(g)−1. We also give a representation-theoretic interpretation of those groups, as well as of KG(G).

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