Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


ucin1178909005.pdf (868.11 KB)

ETD Abstract Container

Abstract Header

K-Theory and Homotopy Type of Certain Infinite C*-Algebras

Vişinescu, Bogdan C.
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178909005

Abstract Details

2007, PhD, University of Cincinnati, Arts and Sciences : Mathematical Sciences.
Let 0→B→E→A→0 be a short exact sequence of C*-algebras where A is a purely infinite simple C*-algebra and B is an essential closed ideal of E. In case that B is the compacts or a nonunital purely infinite simple C*-algebra we determine the homotopy groups of the unitary group of E in terms of the K-theory of E. The result can be viewed as a generalization of the Kuiper’s theorem to a new class of C*-algebras (including certain separable C*-algebras). As a consequence we determine the homotopy groups of the space projections of E in terms of K-theory. In the last part we investigate certain purely infinite simple C*-algebras that arise from the reduced C*-algebra of free products of cyclic groups and a projection. We describe them as a matrix algebra over the C*-algebra generated by the Cuntz algebra 𝓞∞ and some generalized bilateral shifts.
Dr. Shuang Zhang (Advisor)
86 p.
Mathematics

Recommended Citations

Citations

  • Vişinescu, B. C. (2007). K-Theory and Homotopy Type of Certain Infinite C*-Algebras [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178909005

    APA Style (7th edition)

  • Vişinescu, Bogdan. K-Theory and Homotopy Type of Certain Infinite C*-Algebras. 2007. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178909005.

    MLA Style (8th edition)

  • Vişinescu, Bogdan. "K-Theory and Homotopy Type of Certain Infinite C*-Algebras." Doctoral dissertation, University of Cincinnati, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178909005

    Chicago Manual of Style (17th edition)

ucin1178909005
478
© 2007, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.