Real C*-algebras, United KK-theory, and the Universal Coefficient Theorem
| dc.creator | Boersema, Jeffrey L. | |
| dc.date | 2003-02-26 | |
| dc.date | 2003-02-28 | |
| dc.date.accessioned | 2026-07-07T04:55:37Z | |
| dc.date.available | 2026-07-07T04:55:37Z | |
| dc.description | We define united KK-theory for real C*-algebras A and B such that A is separable and B is sigma-unital, extending united K-theory in the sense that KK\crt(\R, B) = K\crt(B). United KK-theory contains real, complex, and self-conjugate KK-theory; but unlike unaugmented real KK-theory, it admits a universal coefficient theorem. For all separable A and B in which the complexification of A is in the bootstrap category, KK\crt(A,B) can be written as the middle term of a short exact sequence whose outer terms involve the united K-theory of A and B. As a corollary, we prove that united K-theory classifies KK-equivalence for real C*-algebras whose complexification is in the bootstrap category. | |
| dc.description | 42 pages; correction to abstract: the correct hypothesis is that the complexification of A (not B) is in the bootstrap category | |
| dc.identifier | https://arxiv.org/abs/math/0302335 | |
| dc.identifier | http://arxiv.org/abs/math/0302335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66641 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L80, 19K35 (Primary); 46M18 (Secondary) | |
| dc.title | Real C*-algebras, United KK-theory, and the Universal Coefficient Theorem | |
| dc.type | text |