The kernel of the determinant map on certain simple $C^*$-algebras

Autor:	Ping Wong Ng
Rok vydání:	2014
Předmět:	Pure mathematics Kernel (algebra) Algebra and Number Theory Rank (linear algebra) Simple (abstract algebra) Unital Multiplicative function Zero (complex analysis) Unitary state Mathematics Separable space
Zdroj:	Journal of Operator Theory. 71:341-379
ISSN:	1841-7744 0379-4024
DOI:	10.7900/jot.2012apr01.1953
Popis:	Let A be a unital separable simple C*-algebra such that either (1) A has real rank zero, strict comparison and cancellation or (2) A is TAI. We study the kernel of the de la Harpe--Skandalis determinant on GL^0(A), proving that the determinant vanishes exactly on elements which are products of 8 multiplicative commutators. We also have results for the unitary case.
Databáze:	OpenAIRE
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