On the homotopy type of the regular group of a realW*-algebra

作者: H. Schr�der

DOI: 10.1007/BF01195808

关键词:

摘要: In this paper we determine the homotopy groups of group invertible elements a purely realW*-algebra typeII1. It turns out that are periodic with period 4.

参考文章(19)
Max Karoubi, Algèbres de Clifford et $K$-théorie Annales Scientifiques De L Ecole Normale Superieure. ,vol. 1, pp. 161- 270 ,(1968) , 10.24033/ASENS.1163
K. R. Goodearl, Notes on real and complex C[*]-algebras Shiva Pub.. ,(1982)
Masamichi Takesaki, Theory of Operator Algebras II ,(1979)
Irving Kaplansky, Rings of operators ,(1956)
Kenneth E. Ekman, Unitaries and partial isometries in a real *-algebra Proceedings of the American Mathematical Society. ,vol. 54, pp. 138- 140 ,(1976) , 10.1090/S0002-9939-1976-0454660-6
M. Breuer, A homotopy theoretic proof of the additivity of the trace Rocky Mountain Journal of Mathematics. ,vol. 10, pp. 185- 198 ,(1980) , 10.1216/RMJ-1980-10-1-185
Manfred Breuer, Theory of Fredholm operators and vector bundles relative to a von Neumann algebra Rocky Mountain Journal of Mathematics. ,vol. 3, pp. 383- 430 ,(1973) , 10.1216/RMJ-1973-3-3-383
Jochen Br�ning, Wolfgang Willgerodt, Eine Verallgemeinerung eines Satzes von N. Kuiper Mathematische Annalen. ,vol. 220, pp. 47- 58 ,(1976) , 10.1007/BF01354528
Huzihiro Araki, Mi-Soo Bae Smith, Larry Smith, On the homotopical significance of the type of von Neumann algebra factors Communications in Mathematical Physics. ,vol. 22, pp. 71- 88 ,(1971) , 10.1007/BF01651585